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प्रश्न
Evaluate the following:
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
उत्तर
`(2^6 xx 5^-4 xx 3^-3 xx 4^2)/(8^3 xx 15^-3 xx 25^-1)`
= `(2^6 xx (2^2)^2 xx (3 xx 5)^3 xx (5^2)^1)/((2^3)^3 xx 5^4 xx 3^3)`
= `(2^(6 + 4) xx 3^3 xx 5^(3 + 2))/(2^9 xx 3^3 xx 5^4)`
= `2^(10 - 9) xx 5^(5 - 4)`
= 2 x 5
= 10.
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