Question

simplify-(5/8)to the power of -7 multiplied by (8/5)to the power of -4

Answer 1

Answer:

(8/5)³

Step-by-step explanation:

(5/8)⁻⁷ × (8/5)⁻⁴

by the law of exponent... a power -n = (1/a)power n

(5/8)⁻⁷ = (8/5)⁷

now by another law of exponent a power m × a power n = a power m+n

(8/5)⁷×(8/5)⁻⁴ = (8/5)⁷⁺⁽⁻⁴⁾

                       = (8/5)⁷⁻⁴

                       = (8/5)³

Hope it helps....

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