High School Math : How to use the power rule for exponents in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #11 : Polynomials

Simplify:

Possible Answers:

Correct answer:

Explanation:

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 .

Example Question #11 : How To Use The Power Rule For Exponents In Pre Algebra

Which of the following is equivalent to: 

 ? 

Possible Answers:

Correct answer:

Explanation:

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: 

Example Question #12 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify 

Possible Answers:

Correct answer:

Explanation:

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, .

Example Question #13 : How To Use The Power Rule For Exponents In Pre Algebra

Which of the following is equivalent to ?

Possible Answers:

Correct answer:

Explanation:

When an exponent expression is raised by another exponent, you can multiply the exponents:

Example Question #14 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify:

 

Possible Answers:

Correct answer:

Explanation:

To get rid of the negative exponent, find the inverse of   , which is .

, so the final answer is .

Example Question #15 : How To Use The Power Rule For Exponents In Pre Algebra

Possible Answers:

Correct answer:

Explanation:

According to the power rule of exponents, you multiply the exponents when you raise a power to a power. 

Example Question #16 : How To Use The Power Rule For Exponents In Pre Algebra

Possible Answers:

Correct answer:

Explanation:

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

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