R. D. Sharma Solutions for Chapter: Exponents of Real Numbers, Exercise 4: MULTIPLE CHOICE QUESTIONS (MCQs)

If $x^{-2}=64,$ then $x^{\frac{1}{3}}+x^0=$

When simplified ${\left(-\frac{1}{27}\right)}^{\frac{-2}{3}},$ is

Which one of the following is not equal to $(\sqrt[3]{8}{)}^{-\frac{1}{2}}?$

Which one of the following is not equal to  ${\left(\frac{100}{9}\right)}^{\frac{-3}{2}}?$

If $a, b, c$ are positive real numbers, then $\sqrt{a^{-1}b}\times \sqrt{b^{-1}c}\times \sqrt{c^{-1}a}$  is equal to

If ${\left(\frac{2}{3}\right)}^x{\left(\frac{3}{2}\right)}^{2x}=\frac{81}{16},$ then $x=$

The value of ${\left\{8^{\frac{-4}{3}}÷2^{-2}\right\}}^{\frac{1}{2}},$ is

If $a, b, c$ are positive real numbers, then  $\sqrt[5]{3125a^{10}{b}^5{c}^{10}}$  is equal to