How to evaluate exponents - Math
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Which of the following is an alternate positive expression of 4-3?
Which of the following is an alternate positive expression of 4-3?
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You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.

You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.
Which of the following is a simplified expression of X3X2?
Which of the following is a simplified expression of X3X2?
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When you multiply two exponential expressions with the same base, add the exponents to simplify the expression.

When you multiply two exponential expressions with the same base, add the exponents to simplify the expression.
Simplify the exponential expression below.

Simplify the exponential expression below.
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The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.

The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.
Which of the following is equivalent to
?
Which of the following is equivalent to ?
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When an exponent expression is raised by another exponent, you can multiply the exponents:

When an exponent expression is raised by another exponent, you can multiply the exponents:
What is the value of 93?
What is the value of 93?
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Exponents are a way of expressing the repeated multiplication of the same value. An exponent describes how many times a value is to be multiplied by itself.

Exponents are a way of expressing the repeated multiplication of the same value. An exponent describes how many times a value is to be multiplied by itself.
Simplify:

Simplify:
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To get rid of the negative exponent, find the inverse of
, which is
.
, so the final answer is
.
To get rid of the negative exponent, find the inverse of , which is
.
, so the final answer is
.
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According to the power rule of exponents, you multiply the exponents when you raise a power to a power.

According to the power rule of exponents, you multiply the exponents when you raise a power to a power.
What is the value of
?
What is the value of ?
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The power rule says that an exponent to the power of another exponent gets multiplied. We can think of
as
, in which case we see that the answer is
because multiplying the same numbers with different exponents adds the exponents.
The power rule says that an exponent to the power of another exponent gets multiplied. We can think of as
, in which case we see that the answer is
because multiplying the same numbers with different exponents adds the exponents.
Simplify the expression.

Simplify the expression.
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The power rule of exponents states than an exponential term raised to another exponent can be simplified by multiplying the exponents together.



The power rule of exponents states than an exponential term raised to another exponent can be simplified by multiplying the exponents together.
Simplify
.
Simplify .
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When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
If you think about it
is equivalent to 
So we multiply
by
to get the power of the answer 
The answer is
.
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
If you think about it is equivalent to
So we multiply by
to get the power of the answer
The answer is .
What is
simplified?
What is simplified?
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When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply
by
to get the power of the answer as
.
The answer is
.
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply by
to get the power of the answer as
.
The answer is .
What is
simplified?
What is simplified?
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When raising a polynomial to a power, you multiply the exponent inside the parentheses by the power outside of the parentheses.
So we multiply
by
to get the power of the answer, which is
.
The answer is
.
When raising a polynomial to a power, you multiply the exponent inside the parentheses by the power outside of the parentheses.
So we multiply by
to get the power of the answer, which is
.
The answer is .
Simplify 
Simplify
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When raising an exponent to another exponent you multiply the exponent inside the parentheses by the exponent outside of the parentheses.
So we multiply
by
to get the final exponent, which is
.
The answer is
.
When raising an exponent to another exponent you multiply the exponent inside the parentheses by the exponent outside of the parentheses.
So we multiply by
to get the final exponent, which is
.
The answer is .
Simplify
.
Simplify .
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When raising a polynomial to a power, multiply the polynomial inside the parentheses by the power outside of the parentheses.
We multiply
by
to get the power of the answer,
.
The answer is
.
When raising a polynomial to a power, multiply the polynomial inside the parentheses by the power outside of the parentheses.
We multiply by
to get the power of the answer,
.
The answer is .
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According to the power rule for exponents, we can simplify
and

According to the power rule for exponents, we can simplify and
Simplify:

Simplify:
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When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply
by
to get the power of the answer,
.
The answer is
.
When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.
So we multiply by
to get the power of the answer,
.
The answer is .
Which of the following is equivalent to:
?
Which of the following is equivalent to:
?
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Recall that when we have the exponent of an expression with an exponent, as in this case, we multiply these exponents. Thus, we have that:

Recall that when we have the exponent of an expression with an exponent, as in this case, we multiply these exponents. Thus, we have that:
Simplify 
Simplify
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When raising a power to a power, multiply the power inside the parentheses by the power outside the parentheses. In this case, multiply
by
to find the power of the answer,
.
When raising a power to a power, multiply the power inside the parentheses by the power outside the parentheses. In this case, multiply by
to find the power of the answer,
.
Simplify the following expression.

Simplify the following expression.
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This expression is a product of exponents with like bases. In these situations, we should use the product rule, which states that we should addthe exponents.

This expression is a product of exponents with like bases. In these situations, we should use the product rule, which states that we should addthe exponents.
Simplify the exponential expression.
![\small $[(3x^2y$^$2)(4xy^3$$)]^0$](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/89344/gif.latex)
Simplify the exponential expression.
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![\small $[(3x^2y$^$2)(4xy^3$$)]^0$](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/139186/gif.latex)
Any number to the "zero" power is equal to
.

![\small $[(3x^2y$^$2)(4xy^3$$)]^0$$=[12x^3y$^$5]^0$=1](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/89346/gif.latex)
Any number to the "zero" power is equal to .