Question

${2}^{4} \times {5}^{4}$
plz give step by step explanation
help fast ​

Answer 1

2⁴ × 5⁴

solve this by using

${a}^{n} \times {b}^{n}$

$( {a \times b})^{n}$

similarly

2⁴ × 5⁴

= (2×5)⁴

= 10⁴

= 100000.

Answer 2

Given:

$\texttt{\green{Simplify the equation}} \: : \: \mathtt{\red{2^4 \times 5^4}}$

Solution:

$\texttt{\red{Using the law of exponent :}} \\ \implies \mathtt{\green{a^m \times b^m} = \blue{(a\times b)^m}}$

So,

$\therefore \red{\mathtt{2^4 \times 5^4}} = \blue{\mathtt{(2 \times 5)^4}} \\ \implies \blue{\mathtt{(10)^4}} \\ \implies \blue{\mathtt{10000}}$

Alternative method:

$\implies \tt 2^4 \times 5^4 \\ \tt \implies 16 \times 625 \\ \tt \implies \red{10000}$