Question

5 elevado a 3x-2 . 5 elevado a x-1 sobre 5 elevado a x-5

Answer 1

$\frac{5^{3x-2}\cdot5^{x-1}}{5^{x-5}}=\frac{5^{3x-2+x-1}}{5^{x-5}}=\frac{5^{3x+x-2-1}}{5^{x-5}}=\frac{5^{4x-3}}{5^{x-5}}= 5^{4x-3-(x-5)}\\ \\= 5^{4x-3-x+5}= 5^{4x-x-3+5}=5^{3x+2}$