Use the laws of exponents to simplify. Do not use negative exponents in your answer.
-$$\frac { 9 ^ { 8 / 13 } } { 9 ^ { - 3 / 13 } }$$
A) $9 ^ { 8 / 13 } - 9 ^ { 3 / 13 }$
B) $95 / 13$
C) $9 ^ { 11 / 13 }$
D) $9 ^ { - 24 / 169 }$

Question

Quizplus · Accepted Answer

Using the law of exponents, when dividing two numbers with the same base, we can subtract the exponents:

$$\frac { 9 ^ { 8 / 13 } } { 9 ^ { - 3 / 13 } }= 9^{(8/13) - (-3/13)} = 9^{11/13}$$

Therefore, the answer is choice C, $9^{11/13}$.

Use the Laws of Exponents to Simplify 98/139−3/13\frac { 9 ^ { 8 / 13 } } { 9 ^ { - 3 / 13 } }9−3/1398/13​

Use the Laws of Exponents to Simplify $\frac { 9 ^ { 8 / 13 } } { 9 ^ { - 3 / 13 } }$