All Algebra II Resources
Example Questions
Example Question #177 : Multiplying And Dividing Exponents
Solve:
Do not expand the powers. Instead convert the denominator to base two.
Now that common bases with a certain exponent are divided, we can subtract the exponents.
Rewrite this term as a fraction.
The answer is:
Example Question #181 : Multiplying And Dividing Exponents
Multiply:
The powers of the term enclosed by the parentheses can be multiplied by the power rule.
We can rewrite as three cubed.
Add the powers using the additive rule.
The answer is:
Example Question #182 : Simplifying Exponents
Divide the exponents:
Evaluate the first fraction. Since both bases on the numerator and denominator are alike, we can use the subtraction rule of exponents in order to simplify the exponents.
Rewrite the expression.
Change the base of the denominator to .
Simplify by using the subtraction rule.
The answer is:
Example Question #183 : Simplifying Exponents
Divide the exponents.
The first fraction can be rewritten as:
The second term is the same as:
Divide the two numbers.
The answer is:
Example Question #183 : Multiplying And Dividing Exponents
Evaluate:
Multiply the integers together.
We can rewrite the fraction to base 27 using a negative exponent.
Recall the additive property of exponents. We can sum the exponents when similar bases are multiplied.
The answer is:
Example Question #184 : Simplifying Exponents
Divide:
Solve the first term. The fraction of this expression can be rewritten using the subtraction rule of exponents.
Divide this by .
Repeat the process.
The answer is:
Example Question #185 : Simplifying Exponents
Divide:
Convert the bases so that the numerator and denominators have the common base. We can convert both bases to base 2.
Rewrite the bases in terms of the new base using exponents.
The answer is:
Example Question #187 : Multiplying And Dividing Exponents
Simplify the following expression using multiplication and division of exponents to its simplest form.
In order to multiply exponents with the same base of the form:
you must add the two exponents together, where a is the base and and are the exponents. When the base in this case "" is an expression such as you must check to see if they have the same base.
If they do
In the case of the problem
both and share the same base of x so you're able to add the exponents getting thereby getting which equals = , which is your final answer.
This can be checked by dividing by either or
Example Question #1 : Distributing Exponents (Power Rule)
What is the largest positive integer, , such that is a factor of ?
8
20
10
16
5
16
. Thus, is equal to 16.
Example Question #511 : Exponents
Simplify the expression:
Cannot be simplified
Begin by distributing the exponent through the parentheses. The power rule dictates that an exponent raised to another exponent means that the two exponents are multiplied:
Any negative exponents can be converted to positive exponents in the denominator of a fraction:
The like terms can be simplified by subtracting the power of the denominator from the power of the numerator: