All Algebra II Resources
Example Questions
Example Question #113 : Distributing Exponents (Power Rule)
Evaluate:
To evaluate this expression, we will need to convert to common bases in order to use the power rule for exponents.
Rewrite the problem.
Do not mix the additive rule of exponents with the multiplicative rule.
Use these rules to simplify the terms.
The answer is:
Example Question #631 : Exponents
Solve:
Use the power rule of exponents to simplify this expression.
Follow this rule to simplify the exponents.
The answer is:
Example Question #631 : Exponents
Simplify:
We can use the power rule of exponents to simplify this expression.
The expression becomes:
We can rewrite this as a fraction.
The answer is:
Example Question #116 : Distributing Exponents (Power Rule)
Simplify:
Use the product rule of exponents to simplify the terms in parentheses.
This expression is the same as:
The answer is:
Example Question #111 : Distributing Exponents (Power Rule)
Solve:
In order to solve this expression, we will need to use the power rule of exponents.
We can distribute the outer exponent to the exponents inside the parentheses. Do not ignore the five, which equals .
The answer is:
Example Question #303 : Simplifying Exponents
Solve:
In order to solve this, we can change this expression to base two.
The fraction can be rewritten as a negative exponent.
The inner term in the parentheses is equal to:
Rewrite the expression.
Using the product rule of exponents, we can multiply all the powers together.
Now that we are multiplying two common bases with exponents, we can add the powers.
The answer is:
Example Question #119 : Distributing Exponents (Power Rule)
Solve:
The exponents that are surrounded by the brackets and parentheses can be multiplied based on the product rule for exponents.
Now that we have bases similar, we can use the additive rule of exponents to combine both terms.
The answer is:
Example Question #120 : Distributing Exponents (Power Rule)
Solve:
According to the product rule of exponents, we can multiply the two powers together in the parentheses.
This means that:
Replace this term in the bracket.
Repeat the process for these exponents.
This negative exponent can be simplified as a fraction.
The answer is:
Example Question #631 : Exponents
Simplify:
In order to simplify this term, we will need to use the power rule of the exponents.
Apply this rule for the given problem.
Simplify the terms.
The answer is:
Example Question #1 : Solving Exponential Functions
What is the horizontal asymptote of the graph of the equation ?
The asymptote of this equation can be found by observing that regardless of . We are thus solving for the value of as approaches zero.
So the value that cannot exceed is , and the line is the asymptote.
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