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प्रश्न
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

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उत्तर
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
Hook-up machine can do the work = `2^2 xx (1/3)^3 xx 5^4`
= `4 xx 1/27 xx 625`
= `2500/27`
= 92.59
So, it is not possible for a single machine to do the same work.
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संबंधित प्रश्न
On multiplying ______ by 2–5 we get 25.
The value of [2–1 × 3–1]–1 is ______.
The value of `1/4^-2` is equal to 16.
`x^m/y^m = (y/x)^-m`
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
If `5^(3x - 1) ÷ 25 = 125`, find the value of x.
If `(5^m xx 5^3 xx 5^-2)/5^-5 = 5^12`, find m.
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Simplify:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
