Practice Questions – Exponents and Powers – Class VII

Express as a rational number \(\left(\dfrac{-2}{7}\right)^{-4} \times \left(\dfrac{-7}{5}\right)^{3}\)

Find x so that \(\left(\dfrac{5}{3}\right)^{-5} \times \left(\dfrac{5}{3}\right)^{-11} = \left(\dfrac{5}{8}\right)^{8x} \)

Find the difference between \(3^{4}\ and \ 4^{3} \).

The exponential form of \(\dfrac{-729}{64}\) is

Simplify \(\left(\dfrac{1}{4}\right)^{-2} + \left(\dfrac{1}{2}\right)^{-2} +\left(\dfrac{1}{3}\right)^{-2} \)

Simplify \( \left[6^{-1} + \left(\dfrac{3}{2}\right)^{-1}\right]^{-1}\)

Express as a rational number \(\left[\left(\dfrac{4}{3}\right)- \left(\dfrac{1}{4}\right)^{-1}\right]^{1}\)

Find the value of x so that \( 7^{2x + 1} \div 49 = 7^{3} \)

Simplify \(\dfrac{\left(-6\right)^{0} – \left(2\right)^{0}}{\left(\dfrac{-3}{4}\right)^{0}} \)

Express as a rational number \((-1)^{21} – (-1)^{46} \)

By what number should \((-8)^{-1}\) be multiplied so that the product may be equal to \(10^{-1}\)?

Find the value of \( {\left(3^{2} – 2^{3}\right) \div \left(\dfrac{1}{5}\right)^{3}}\)

Simplify \( \left(2^{-1} \div 5^{-1}\right)^{2} \times \left(\dfrac{-5}{8}\right)^{-1}\)

Simplify \( \left(6^{-1} \div 8^{-1}\right)^{-1} + \left(2^{-1} – 3^{-1}\right)^{-1}\)

\( \left(\dfrac{-4}{3}\right)^{-3} \) is equal to

Simplify \( \left(3^{2} + 2^{2}\right) \times \left(\dfrac{1}{2}\right)^{3}\)

Simplify \( \left[\left(\dfrac{1}{3}\right)^{-3} – \left(\dfrac{1}{2}\right)^{-3}\right] \div \left(\dfrac{1}{4}\right)^{-3} \)

Find the product of the cube of \(\left(\dfrac{-2}{3}\right)\) and the square of \(\left(\dfrac{4}{-5}\right)\)

Find the value of \(8 \times 2^{2x + 2} = 32\)

Find the reciprocal of \(\left(-4\right)^{3}\)is