Chapter 4.6, Problem 14C

To determine

To find the product of $\frac{7^2}{7^{-8}}$ using positive exponents.

Answer to Problem 14C

  $7^{10}$

Explanation of Solution

Given information: $\frac{7^2}{7^{-8}}$

Formula used:The product of powers rule.

Calculation:

  $\frac{7^2}{7^{-8}}$

Hence it becomes this

  $=7^{2-\left(-8\right)}$ Using product of powers

  $=7^{2+8}$ Since multiplication of minus and minus signs is a positive product

  $=7^{10}$ This has the positive exponents