Question

(64/125)^-2/3÷1/(256/625)^1/4+1​

Answer 1

Answer:

9/4

Step-by-step explanation:

First term -

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

=(5/4)^2 (Because 5 and 4 are cube roots of 125 and 64)

=25/16

Second -

1/(4/5) (the fourth root of 256 and 625)

=5/4

COMBINING-

(25/16)/(5/4) + 1

=(25/16)*(4/5) + 1

That is

(5/4) +1

= 9/4

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