Question

Using laws of exponents, simplify and write the answer in exponential form:

(iii) $5^3\times 5^7\times 5^{12}$

Answer 1

Solving through laws of exponents

We know that, ${\mathrm{x}}^{\mathrm{l}}\times {\mathrm{x}}^{\mathrm{m}}\times {\mathrm{x}}^{\mathrm{n}}={\mathrm{x}}^{\mathrm{l}+\mathrm{m}+\mathrm{n}}$

$\Rightarrow 5^3\times 5^7\times 5^{12}=5^{3+7+12}=5^{22}$

Hence, exponential form of $5^3\times 5^7\times 5^{12}$ is $5^{22}$.