R. D. Sharma Solutions for Chapter: Powers, Exercise 1: EXERCISE

Simplify:

${\left(3^{-1}\times 4^{-1}\right)}^{-1}\times 5^{-1}$

Simplify:

$\left(3^2+2^2\right)\times {\left(\frac{1}{2}\right)}^3$

Simplify:

$\left(3^2-2^2\right)\times {\left(\frac{2}{3}\right)}^{-3}$

Simplify:

$\left[{\left(\frac{1}{3}\right)}^{-3}- {\left(\frac{1}{2}\right)}^{-3}\right] ÷{\left(\frac{1}{4}\right)}^{-3}$

Simplify:

$\left(2^2+3^2-4^2\right)÷{\left(\frac{3}{2}\right)}^2$

By what number should $5^{-1}$ be multiplied so that the product may be equal to $(-7{)}^{-1}$?

By what number should ${\left(\frac{1}{2}\right)}^{-1}$ be multiplied so that the product may be equal to ${\left(\frac{-4}{ 7}\right)}^{-1}$?

By what number should $(-15{)}^{-1}$ be divided so that the quotient may be equal to $(5{)}^{-1}$?