Arihant Expert Team Solutions for Exercise 2: Practice Exercise

What is the smallest number by which $3600$ be divided to make it a perfect cube?

Find the product of square root of $16$ and square of $4$?

If $x=7-4\sqrt{3}$ and the value of $\sqrt{x}+\frac{1}{\sqrt{x}}$:

If $5^a=3125$ find the value of $a$.

Simplify  $\frac{2^{-3}\times 3^{-2}\times 2^6}{6^2\times 9\times 3^{-5}}$.

Find the value of $x$in the following expression:
$(\frac{2}{3}{)}^{-6}\times (\frac{2}{3}{)}^3=(\frac{2}{3}{)}^{2x-3} ?$

Find the value of  ${64}^{-\frac{2}{3}}\times (\frac{1}{4}{)}^{-2}.$

Simplify $2^{2^{-2}}.$