Chapter 4.6, Problem 46E

To determine

To find the quotient of $\frac{{15}^3}{{15}^{-4}}$ using positive exponents.

Answer to Problem 46E

  ${15}^7$

Explanation of Solution

Given information: $\frac{{15}^3}{{15}^{-4}}$

Formula used:The product of powers rule.

Calculation:

  $\frac{{15}^3}{{15}^{-4}}$

Which further becomes

  $={15}^{3-(-4)}$ Using product of powers.

Since exponent 4 has a negative sign, add it and bring it to the numerator, using product of powers rule for division.

  $={15}^{3+4}$

This results in

  $={15}^7$ This has the positive exponents.