Question

find the value of (64)2/3​

Answer 1

Answer:

16 is the required value $(64)^\frac{2}{3}$

Step-by-step explanation:

Explanation:

Given in the question that, $(64)^\frac{2}{3}$

• As we know, (a$^m)^n$= $a^{mn}$ is the power rule for exponents. Multiply the exponent by the power to raise a number with an exponent to that power

• Rule of the Negative Exponent: $x^{-n}$ = $\frac{1}{x^n}$. To make a negative exponent positive, invert the base.

Step 1:

From the question we have, $(64)^\frac{2}{3}$

64 can be written as, $4^3$

Now from the formula of $(a^m)^n = a^{mn}$

Now, from the question,

⇒  $(64)^\frac{2}{3}$ = $(4^3)^\frac{2}{3}$ = $4^2$ = 16

Final answer:

Hence, 16 is the required value $(64)^\frac{2}{3}$.

#SPJ2

Answer 2

Answer:

16.

Step-by-step explanation:

64 we have to take lcm.. lcm ans was 4,4,4

(4)³x⅔

3 3 cancel

4²

4x4=16.

thank you.,