Subject Experts Solutions for Chapter: Exponents and Radicals, Exercise 1: TEST YOUR SKILLS

Express the following in exponential form: $\sqrt[3]{{\left(\frac{1}{2}\right)}^{-1}}$

Find the value of $\left(3^0+4^{-1}\right)\times 2^2$.

Find the value of $\left(2^{-1}\times 4^{-1}\right)÷2^{-2}$ in fractional form.

Find the value of ${\left(\frac{1}{2}\right)}^{-2}+{\left(\frac{1}{3}\right)}^{-2}+{\left(\frac{1}{4}\right)}^{-2}$.

If $\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}=5^n$, then find the value of $n$.

Find the value of $x$ if ${\left(\frac{1}{3}\right)}^{x-2}÷{\left(\frac{1}{3}\right)}^{-3}={\left(\frac{1}{3}\right)}^{2x+7}$

Evaluate: $\frac{8^{-1}\times 5^3}{2^{-4}}÷{\left(5\right)}^2$

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