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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
For a non-zero integer x, (x4)–3 is equal to ______.
Which of the following is not the reciprocal of `(2/3)^4`?
The value of [2–1 × 3–1]–1 is ______.
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
Supply the missing information for diagram.

Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1?
Find x.
`(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
