Question

the value of (64^2/3)^1/2 is​

Answer 1

GIVEN QUESTION ⤵️

$( {64}^{ \frac{2}{3} } ) {}^{ \frac{1}{2} }$

As we know that 64 can be written as 4³⤵️

$(({4}^{3} ) {}^{ \frac{2}{3} } ) {}^{ \frac{1}{2} }$

As 3 in the denominator and 3 in the power gets canceled we get ⤵️

$({4}^{2} ) {}^{\frac{1}{2} }$

Again as 2 in the power and 2 in the denominator get canceled we get⤵️

4¹

SO FINAL ANSWER ⤵️

4