Question

Answer: (∛5)^9 as soon as possible

Answer 1

Heya!!
Here is your answer:-
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We have to find the value of $( { \sqrt[3]{5} })^{9}$
Cube root = 1/3 as exponent.
$( {5}^{1 \div 3} ) {}^{9}$
We know that (a^m)^n=a^mn
When we will open the brackets, the powers will multiply with each other.
${5}^{1 \div 3 \times 9}$
Now, we get,
${5}^{3}$
$5 \times 5 \times 5$
$= 125$
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Hope it helps you.

Answer 2

Answer:

$( \sqrt[3]{5} ) {}^{9} = \\ as \: we \: know \sqrt[3]{a} = \sqrt{a {}^{ \frac{1}{3} } } \: \\ and \:( 5 {}^{ \frac{1}{3} } ) {}^{9} = 5 {}^{3} = 125$