# ASVAB Mathematics Knowledge Practice: Exponents

When you run into exponent problems on the Mathematics Knowledge subtest on the ASVAB, they may look a little complicated. As you’ll see in the following practice questions, though, if you know the different exponent rules, they’re quite easy to solve.

## Practice questions

- Simplify: (3
*x*^{7}*y*^{5})^{2 }

**A.**9*x*^{7}*y*^{5}

**B.**9*x*^{14}*y*^{5}

**C.**9*x*^{7}*y*^{10}

**D.**9*x*^{14}*y*^{10} - Simplify: ((
*x*^{5})^{7})^{9 }

**A.***x*^{21}

**B.***x*^{22}

**C.***x*^{31}

**D.***x*^{315}

## Answers and explanations

- The correct answer is
**Choice (D).**To simplify expressions that contain exponents, raise everything in the parentheses by the exponent outside the parentheses. Technically, you’ll apply the exponent rule, which says (

*ab*)=^{n}*a*. In this case,^{n}b^{n} - The correct answer is
**Choice (D).**Apply the exponent rule, which says

Multiply the exponents, beginning with the innermost parentheses:

Move on to the outer exponent: