Question

By what number should (5/4)^-2 be divided, so that the quotient (1/2)^-3? Give your answer in attachment

Answer 1

Step-by-step explanation:

(5/4)^-2

= (4/5)²

LET THE NO. BE X

SO ACCORDING TO QUESTION

(5/4)^-2÷X=(1/2)^-3

X=(5/4)^-2÷(1/2)^-3

=(4/5)²÷2³

=16/25÷8

=16/25× 1/8

=2/25

SO By 2/25 should (5/4)^-2 be divided, so that the quotient (1/2)^-3?