Question

find p so that (625)^2*5^7=(5)^5p

Answer 1

$\large{\sf{(625)²~×~5 {}^{7} = (5) {}^{5p} }}$

$\large{\sf{We~need~to~make~bases~same}}$

$\large{\sf{5 {}^{8} \times 5 {}^{7} = (5) {}^{5p} }}$

$\large{\sf{Bases~are~same~we~must~compute~the~powers}}$

$\large{\sf{8~+~7~=~5p}}$

$\large{\sf{5p~=~15}}$

$\large\pink{\sf{p~=~3}}$

$\large \mathtt \color{blue}{Hope~it~helps~:)}$