Question

simplify:(5/7)^3×(5/7)^-5 the answer should be in positive exponent

Answer 1

$\bigg(\dfrac{5}{7} \bigg)^3 \times \bigg( \dfrac{5}{7} \bigg)^{-5}$

$= \dfrac{5^3}{7^3} \times \dfrac{5^{-5}}{7^{-5}}$

$= \dfrac{5^3}{7^3} \times \dfrac{7^{5}}{5^{5}}$

$= \dfrac{5^3 \times 7^5 }{7^3 \times 5^5}$

$=5^{3-5} \times 7^{5-3}$

$= 5^{-2} \times 7^{2}$

$= \dfrac{7^2}{5^2}$

$= \bigg( \dfrac{7}{5} \bigg)^2$

Answer 2

Hey there!

Solution is enclosed!

Hope It Helps You!