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Simplify [{((2)/(3))^(-3)-((1)/(2))^(-3...

Simplify `[{((2)/(3))^(-3)-((1)/(2))^(-3) div ((1)/(5))^(-2)}]`

Text Solution

Verified by Experts

The correct Answer is:
`(19)/(25)`
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Simplify 2^((2)/(3)).2^((1)/(3))

Simplify 1-(2)/(3)

Find 3 div (1)/(5)

Simplify (3^((1)/(5)))/(3^((1)/(3)))

Simplify : [{(1/3)^-3-(1/2)^-3}div(1/5)^-2]

Find (1)/(2) div (3)/(5)

2[((2)/(3))+(1)/(3)((2)/(3))^(3)+(1)/(5)((2)/(3))^(5)+...]=

2[((1)/(2))+(1)/(3)((1)/(2))^(3)+(1)/(5)((1)/(2))^(5)+...]=

2[((1)/(3))+(1)/(3)((1)/(3))^(3)+(1)/(5)((1)/(3))^(5)+...] =

Simplify: 3 2/5+5/9