Express ${(a^{3})}^{4}$ with a single exponent.

Open in App

Solution

As we know that for any non-zero integer $' a'$ and natural numbers $m$ and $n$ , we have,
${(a^{m})}^{n} = a^{m n}$ .
So, on applying, we get , ${(a^{3})}^{4}$ $= a^{3 \times 4} = a^{12}$
Hence, ${(a^{3})}^{4}$ as a single exponent will be equal to $a^{12}$ .

Suggest Corrections

Similar questions

{({(\frac{- 1}{3})}^{2})}^{3} \times {({(\frac{- 1}{3})}^{4})}^{5}

Express ${[{(- 3)}^{5}]}^{3}$ with a single exponent.

Express ${[{(\frac{7}{3})}^{2}]}^{5}$ with a single exponent.

{(3^{4})}^{- 2}

{({(\frac{1}{7})}^{- 3})}^{4}

{({(\frac{2}{5})}^{- 3})}^{2}

Express the following with a single exponent:

${(3^{3})}^{5} \times {(3^{4})}^{2}$

Join BYJU'S Learning Program