Algebra II : Negative Exponents

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #1 : Understanding Exponents

Simplify the following expression

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Correct answer:

Explanation:

Example Question #2 : Understanding Exponents

Simplify the following expression

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Correct answer:

Explanation:

Example Question #3 : Understanding Exponents

Simplify the following expression

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Correct answer:

Explanation:

Example Question #4 : Understanding Exponents

Simplify the following expression

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Correct answer:

Explanation:

Example Question #5 : Understanding Exponents

Simplify the following expression

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Correct answer:

Explanation:

Example Question #1 : Negative Exponents

Solve for :

Possible Answers:

Correct answer:

Explanation:

Raise both sides of the equation to the inverse power of  to cancel the exponent on the left hand side of the equation.

Subtract  from both sides:

Example Question #2 : Negative Exponents

Represent the fraction using only positive exponents:

Possible Answers:

Correct answer:

Explanation:

Negative exponents are the reciprocal of their positive counterpart. For example:

Therefore:

This simplifies to:

Example Question #8 : Understanding Exponents

Solve the equation for n:

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Correct answer:

Explanation:

Rewrite the right-hand-side so that each side has the same base:

Use the Property of Equality for Exponential Functions:

Solving for :

 

Example Question #3 : Negative Exponents

What is  the same as?

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Correct answer:

Explanation:

While a positive exponent says how many times to multiply by a number, a negative exponent says how many times to divide by the number.

To solve for negative exponents, just calculate the reciprocal.

Example Question #4 : Negative Exponents

Solve:  

Possible Answers:

Correct answer:

Explanation:

To evaluate a negative exponent, convert the exponent to positive by taking the inverse.

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