Question

solve (64)1/2*(125)1/3

Answer 1

(64)1/2×(125)1/3
(8^2)1/2×(5^3)1/3
8×5
=40
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Answer 2

Answer:

The value of the expression $(64)^{\frac{1}{2}}\times (125)^{\frac{1}{3}}$ is 40 .

Step-by-step explanation:

As the expression is given in the question be as follow .

$= (64)^{\frac{1}{2}}\times (125)^{\frac{1}{3}}$

As

64 = 8²

125 = 5³

Put theses values in the above expression

$= (8^{2})^{\frac{1}{2}}\times ( 5^{3})^{\frac{1}{3}}$

Simplify the above

$= 8^{\frac{2}{2}}\times 5^{\frac{3}{3}}$

$= 8\times 5$

= 40

Therefore the value of the expression $(64)^{\frac{1}{2}}\times (125)^{\frac{1}{3}}$ is 40 .