Question

( 8 ^ 4 x 5 ^ 3 / 8 ^ 5 ) ^ 2 How could the expression be rewritten as a product of two powers or quotient of two powers?

Answer 1

(8^4 x 5^3/8^5)^2

= (8^4 x 5^3/(8^4 x 8))^2

= (5^3/8)^2 (8^4 has been cancelled out)

= (5^3)^2/8^2

= 5^6/8^2

Hope this helps!

:)