Question

Simplify 4√3√x^2 and express the result in exponential form of x​

Answer 1

Answer:

Hope it will help you....

Answer 2

The result in the exponential form of x is $x^{\frac{1}{6} }$.

Given,

An expression: $\sqrt[4]{\sqrt[3]{x^2} }$.

To Find,

The result of the expression in the exponential form of x.

Solution,

The method of finding the result of the expression in the exponential form of x is as follows -

We know that by the rules of exponents $\sqrt[n]{x} =x^{\frac{1}{n} }$ and $(x^a)^b=x^{ab}$.

Now we will simplify the expression.

$\sqrt[4]{\sqrt[3]{x^2} }=\sqrt[4]{(x^2)^{\frac{1}{3} }} =\sqrt[4]{x^{\frac{2}{3} }}$

$=(x^{\frac{2}{3} })^{\frac{1}{4} }=x^{\frac{2}{3}* \frac{1}{4} }=x^{\frac{1}{6} }$

Hence, the result in the exponential form of x is $x^{\frac{1}{6} }$.

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