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प्रश्न
If a = – 1, b = 2, then find the value of the following:
ab × ba
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उत्तर
Given, ab × ba
If a = –1 and b = 2,
Then (–1)2 × (2)–1
= `1 xx 1/2` ...`[∵ a^-m = 1/a^m]`
= `1/2`
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संबंधित प्रश्न
Simplify and write the answer in the exponential form.
(25 ÷ 28)5 × 2-5
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
ap × bq = (ab)pq
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
Find a single repeater machine that will do the same work as hook-up.

Find a single repeater machine that will do the same work as hook-up.

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

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:
`(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`
