Answer:
Step-by-step explanation:
A). [tex]\sqrt[4]{x^{3}}=64[/tex]
[tex]x^{3}=64^{4}[/tex]
[tex]x=(64)^{\frac{4}{3}}[/tex]
[tex]x=(\sqrt[3]{64})^{4}[/tex]
[tex]x=4^{4}[/tex]
x = 256
B). [tex]\sqrt[3]{x^{5}}=32[/tex]
[tex]x=(32)^{\frac{3}{5}}[/tex]
[tex]x=(\sqrt[5]{32})^{3}[/tex]
x = 2³
x = 8
C). [tex]\sqrt[3]{x^{4}}=625[/tex]
[tex]x=(625)^{\frac{3}{4}}[/tex]
[tex]x=\pm 5^{3}[/tex]
x = ±125
D). [tex]\sqrt[5]{x^{4}}=81[/tex]
x = [tex](81)^{\frac{5}{4}}[/tex]
[tex]x=\pm 3^{5}[/tex]
x = ±243
