Question

Which expression is equivalent to 4^7/8 /4^1/4? Choose One answer only
A. 4^5/8
B. 4^9/8
C. 4^6/4
D. 4^8/12

Answer 1

Answer:

Option(A) $4^{\frac{5}{8}}$ is equivalent to $\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$

Step-by-step explanation:

Given:

$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$

To simplify the expression

Using the exponent rule,

$\frac{x^{a}}{x^{b}}=x^{a-b}$

$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$$=4^{\frac{7}{8}-\frac{1}{4}}$

$=4^{\frac{5}{8}}$

The correct answer option is (A) $4^{\frac{5}{8}}$

Learn more about Exponent rule, refer:

• https://brainly.com/question/4431222
• https://brainly.com/question/13277609