Perform the operation and simplify, expressing answer with a positive exponent in lowest terms: $\frac { x ^ { 7 / 8 } } { x ^ { 1 / 8 } }$
A) $x 7$
B) $x ^ { 3 / 4 }$
C) $x ^ { 4 / 3 }$
D) $x 6$

Question

Quizplus · Accepted Answer

When we divide two numbers with the same base, we subtract the exponents. In this case, we have 
$$\frac{x^{7/8}}{x^{1/8}}=x^{7/8-1/8}=x^{3/4}$$
And since the question asks for the answer expressed with a positive exponent in lowest terms, we choose the option where the exponent is already positive and in lowest terms, which is choice B.

Perform the Operation and Simplify, Expressing Answer with a Positive x7/8x1/8\frac { x ^ { 7 / 8 } } { x ^ { 1 / 8 } }x1/8x7/8​

Perform the Operation and Simplify, Expressing Answer with a Positive $\frac { x ^ { 7 / 8 } } { x ^ { 1 / 8 } }$