Embibe Experts Solutions for Chapter: Exponents and Powers, Exercise 1: Exercise

${\left[2^{-5}÷2^{-2}\right]}^2$ is equal to

If $x=2$ and $y=4$, then ${\left(\frac{x}{y}\right)}^{x-y}+{\left(\frac{y}{x}\right)}^{y-x}=$

Simplify and write in exponential form.

${\left(-2\right)}^{-3}\times {\left(-2\right)}^{-4}$

Simplify and write in exponential form.

$p^3\times p^{-10}$

Simplify and write in exponential form.

Simplify and express the result in power notation with positive exponent.

$\left(3^{-7}÷3^{-10}\right)\times 3^{-5}$

The value of $(-2{)}^{-5}$ is equal to

Fill in the blank using $<, >$or $=$.

${10}^2$_____ $2^{10}$