Question

find the value of (64)1/2 ×(125)1/3

Answer 1

yes its help you dude

Answer 2

Answer:

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

=$40$

Explanation:

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

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

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

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We know Exponential Law:

$\boxed{ (x^{m})^{n} = x^{mn}}$

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=$8^{1}\times 5^{1}$

=$40$

Therefore,

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

=$40$

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