Chapter 4.6, Problem 49E

To determine

To find the quotient of $\frac{26w^{-4}}{13w^{-12}}$ using positive exponents.

Answer to Problem 49E

  $2w^8$

Explanation of Solution

Given information: $\frac{26w^{-4}}{13w^{-12}}$

Formula used:The product of powers rule.

Calculation:

  $\frac{26w^{-4}}{13w^{-12}}$

Using product of powersdivide26 by 13. Also, since the exponent of ‘w’ is obtained from the denominator, subtract the same.

  $=2\times w^{-4-\left(-12\right)}$

  $=2\times w^{-4+12}$

  $=2w^8$ This has the positive exponents.