Question

by what number should minus 4 upon 5 raised to the power minus 3 be divided to get the quotient as 16 over 25 raise to the power minus 2​

Answer 1

Answer:

(-4/5)

Explanation:

Let the number be x.

According to Question,

(-4/5)^-3 ÷ x = (16/25)^-2

(-4/5)^-3 ÷ x = [(4/5)²]^-2

(-4/5)^-3 ÷ x = (-4/5)^-4

(-5/4)^3 ÷ x = (5/4)^4

(-5/4)^3 ÷ (5/4)^4 = x

x = (-5/4)^[3-4]

x = (-5/4)^-1

x = (-4/5)

Answer 2

Answer:

This is your answer.

Hope this helps you out.