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प्रश्न
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
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उत्तर
Given, `[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
= `(1/4 - 1/64)^-1 xx 2^-3`
= `((16 - 1)/64)^-1 xx 2^-3`
= `(15/64)^-1 xx 2^-3`
= `64/15 xx 1/8` ...`[∵ a^-m = 1/a^m]`
= `8/15`
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Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
