Use the properties of exponents to simplify. Write with positive exponents.
-$\frac { 9 ^ { 3 / 4 } } { 9 ^ { 1 / 4 } }$
A) $\frac { 1 } { 3 }$
B) $\frac { 1 } { 2 }$
C) 3
D) 9

Question

Quizplus · Accepted Answer

When dividing powers with the same base, subtract the exponents: $9^{3/4} / 9^{1/4} = 9^{(3/4)-(1/4)} = 9^{2/4} = 9^{1/2}$. Simplifying $9^{1/2}$ gives 3, because the square root of 9 is 3.

Use the Properties of Exponents to Simplify 93/491/4\frac { 9 ^ { 3 / 4 } } { 9 ^ { 1 / 4 } }91/493/4​

Use the Properties of Exponents to Simplify $\frac { 9 ^ { 3 / 4 } } { 9 ^ { 1 / 4 } }$