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प्रश्न
Find a single repeater machine that will do the same work as hook-up.
उत्तर
Using law of exponents, (am × an = am + n) ...[∵ a is non-zero integer]
Repeater machine can do the work is equal to `(1/2)^2 xx (1/3)^2`
= `1/2 xx 1/2 xx 1/3 xx 1/3`
= `1/(2 xx 3 xx 2 xx 3)`
= `1/(6)^2`
So, `(xx (1/6)^2)` single machine can do the same work.
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Find a single machine that will do the same job as the given hook-up.
a (× 24) machine followed by `(xx (1/2)^2)` machine.
Find x.
2x + 2x + 2x = 192
Find x.
5x + 5x – 1 = 750
Simplify:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
