Question

Simplify $6^3\times 6^4\times 6^2$ and write as a single exponent.

Answer 1

Here, we need to simplify and write $6^3\times 6^4\times 6^2$ as a single exponent.

We know that the powers get added when bases are equal and powers are different in multiplication.

Thus, adding the exponents: we get, $6^3\times 6^4\times 6^2$$={\left(6\right)}^{3+4+2}=6^9$.

Thus, $6^9$ can be written as a single exponent which is equal to $6^3\times 6^4\times 6^2$.