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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
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
For a non-zero rational number z, (z–2)3 is equal to ______.
By multiplying `(5/3)^4` by ______ we get 54.
On multiplying ______ by 2–5 we get 25.
The expression for 35 with a negative exponent is ______.
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
What happens when 1 cm worms are sent through these hook-ups?

Supply the missing information for diagram.

Supply the missing information for diagram.

Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
