Question

Express each of the following as a product of prime factors only in exponential form: $729\times 64$

Answer 1

Factorize the numbers

Factorizing $729\times 64$:

$$\begin{gathered} 729=3\times 3\times 3\times 3\times 3\times 3 \\ 729=3^6 \\ 64=2\times 2\times 2\times 2\times 2\times 2 \\ 64=2^6 \\ 729\times 64=2^6\times 3^6 \end{gathered}$$

Hence, $729\times 64=2^6\times 3^6$.