Question

carefully analyze the first two examples below and fill in the rest of the exercises with the correct answer.

#Dont answer if you don't know the answer
pls respect. ty​

Answer 1

Given :     $3^{\frac{2}{3}}=\sqrt[3]{3^2} =\sqrt[3]{9}$

$(2n)^{\frac{3}{5}}=\sqrt[5]{2^3n^3} =\sqrt[5]{8n^3}$

To Find : Similarly for  $5^{\frac{3}{4}}$   $3b^{\frac{2}{3}}$

Solution :

$3^{\frac{2}{3}}=\sqrt[3]{3^2} =\sqrt[3]{9}$

$(2n)^{\frac{3}{5}}=\sqrt[5]{2^3n^3} =\sqrt[5]{8n^3}$

$5^{\frac{3}{4}}=\sqrt[4]{5^3} =\sqrt[4]{125}$

$3b^{\frac{2}{3}}= \sqrt[3]{3^3b^2} =\sqrt[3]{27b^2}$

$(3b)^{\frac{2}{3}}= \sqrt[3]{3^2b^2} =\sqrt[3]{9b^2}$

Learn More

The table shows a pattern of exponents. Powers of 5 Value 5 cubed ...

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