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प्रश्न
Simplify:
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
उत्तर
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
= `(5 xx 5 xx 5^2 xx t^2)/((5 xx 2)^3 xx t^4)` ...[(a × b)m = am × bm]
= `(5^(1 + 1 + 2) xx t^8)/(5^3 xx 2^3 xx t^4)` ...[am × an = am + n]
= `(5^4 xx t^8)/(5^3 xx 2^3 xx t^4)`
= `(5^(4 - 3) xx t^(8 - 4))/2^3` ...[am ÷ an = am + n]
= `(5^1xx t^4)/(2 xx 2 xx 2)`
= `(5t^4)/8`
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