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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 `2^2 xx (1/2)^3 xx 2^4`
= `2^6 xx 1/2^3` ...`[∵ a^m/a^n = a^(m - n)]`
= 23
So, (× 23) single machine can do the same work.
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संबंधित प्रश्न
The value of `(2/5)^-2` is ______.
`((-7)/5)^-1` is equal to ______.
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
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.
`4^(n - 1) = 1/4(4)^n`
Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
| Input Length | Repeater Machine | ||
| × 23 | |||
| 40 | 125 | ||
| 2 | |||
| 162 | |||
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
