Chapter 4.6, Problem 50E

To determine

To find the quotient of $\frac{11g^2}{g^{-4}}$ using positive exponents.

Answer to Problem 50E

  $11g^6$

Explanation of Solution

Given information: $\frac{11g^2}{g^{-4}}$

Formula used:The product of powers rule.

Calculation:

  $\frac{11g^2}{g^{-4}}$

Using product of powers, since the exponent of ‘g’ is obtained from the denominator, subtract the same

  $=11\times g^{2-\left(-4\right)}$ .

Which further becomes

  $=11\times g^{2+4}$

Thus result is

  $=11g^6$ This has the positive exponents.