Question

Match each radical equation with the corresponding value of x

Answer 1

64^(4/3)
= 256

32^(3/5)
= 8

625^(3/4)
= 125

81^(5/4)
= 243

Answer 2

Answer:

Step-by-step explanation:

A). $\sqrt[4]{x^{3}}=64$

$x^{3}=64^{4}$

$x=(64)^{\frac{4}{3}}$

$x=(\sqrt[3]{64})^{4}$

$x=4^{4}$

x = 256

B). $\sqrt[3]{x^{5}}=32$

$x=(32)^{\frac{3}{5}}$

$x=(\sqrt[5]{32})^{3}$

x = 2³

x = 8

C). $\sqrt[3]{x^{4}}=625$

$x=(625)^{\frac{3}{4}}$

$x=\pm 5^{3}$

x = ±125

D). $\sqrt[5]{x^{4}}=81$

x = $(81)^{\frac{5}{4}}$

$x=\pm 3^{5}$

x = ±243