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Exercise

$\frac{2^{\frac{-1}{2}}.3^{\frac{3}{4}}.4^2}{2^{\frac{6}{2}}.3^{\frac{-1}{4}}.4^{\frac{3}{2}}}$

Step-by-step Solution

1

Simplify $\sqrt{\left(4^{/.4}\right)^{3}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $/.4$ and $n$ equals $\frac{3}{2}$

$\frac{2}{4^{/.4\cdot \frac{3}{2}}}$

Final answer to the exercise

$\frac{2}{4^{/.4\cdot \frac{3}{2}}}$

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Main Topic: Division of Numbers

The terms involved in a division are called, D, the dividend and, d, the divisor. The result, c, is the quotient.

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