Question

Find the value of
(343)⅓

Answer 1

The value of (343)⅓ =7

Thank you

Answer 2

Concept:

Radicals and powers. That is a number can be raised to a power n if it is multiplied with itself n times.

$a*a*a*a*a..... n\ times=a^{n}$

Given:

$(343)^{\frac{1}{3} }$

Solution:

We can write

$343=7*7*7\\343=7^{3}$

Raising both sides to power of $\frac{1}{3}$

$(343^{\frac{1}{3} }=7^{3^{\frac{1}{3} } } \\(343^{\frac{1}{3} }=7$

Hence this is the solution

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