Question

What is equivalent to ${5}^{3} \times {5}^{4}$A: ${25}^{7}$B: ${5}^{7}$C: ${25}^{12}$D: ${5}^{12}$

Answer 1

Given

$5^3\times5^4$

To find the equivalent, apply the indices product rule

That is

$a^b\times a^c=a^{b+c}$

This implies

$5^3\times5^4=5^{4+3}$

Simplify further

$5^{4+3}=5^7$

Therefore, the solution is option B

$5^7$