Question

Find the product (a²) × (2a²² ) × (4a²⁶)​

Answer 1

${ \large{ \sf{ \underbrace{\underline{\bigstar \:Question}}}}}$

Find the product

${ \large{ \sf{ \underbrace{\underline{\bigstar \: Understanding\:The\: concept}}}}}$

The question says to find the product so what we have to do is that we will add the numbers and then the powers!

Let's do it :-

$\textbf{(a²) × (2a²² ) × (4a²⁶)}$

${ \large{ \sf{ \underbrace{\underline{\bigstar \: Answer}}}}}$

$\small\color{magenta}{(a²)×(2a²²)×(4a²⁶)=(2×4)(a²×a²²×a²⁶)}$

$\small\color{blue}{=8×a²⁺²²⁺²⁶=8a⁵⁰}$

Learn more:-

$\begin{gathered}\boxed{\begin{array}{c}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end {array}}\end{gathered}$