Simplify (8x4x2/8x7)^2x(8^0/7^-3)^3 x 7^-9.

Question

The posible answers are:

64/49

8/49

16/7

512/7

Answer 1

The first parenthesis is 8/7 because two eights cancel out; 8/7 squared is 64/49.

In the second parenthesis, 8^0=1 and 1/7^-3=7^3, so (7^3)^3=7^9 which is multiplied by 7^-9=7^0=1.

The answer is therefore 64/49.

Answer 2

Given ((8*4*2)/(8*7))^2*((8^0)/(7^(-3)))^3*7^(-9)
= ((64)/(56))^2*((1)/(1/343))^3*(1/40353607)
= 64/49

Algebra Topics

Answer 3

Given ((8*4*2)/(8*7))^2*((8^0)/(7^(-3)))^3*7^(-9) 
= ((64)/(56))^2*((1)/(1/343))^3*(1/40353607) 
= 64/49