Rewrite in radical form. If the number is rational, write it without using radical

(64/125) ^ (-2/3).

Question

Mathematics

Gerald

8 July, 00:14

Rewrite in radical form. If the number is rational, write it without using radical

(64/125) ^ (-2/3).

+4

Answers (1)

Know the Answer?

Helena · Answer 1

25/16

Step-by-step explanation:

simplify

(64/125) ^ (-2/3)

= [125/64]^ (2/3) ].

{since (x/y) ^ (-m) = (y/x) ^m}

=[[ (5/4) ³]^ (1/3) ]²

= [5/4]²

= [25/16]

Rewrite in radical form. If the number is rational, write it without using radical(64/125) ^ (-2/3).

Rewrite in radical form. If the number is rational, write it without using radical

(64/125) ^ (-2/3).