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प्रश्न
Simplify:
`(1/4)^-2 + (1/2)^-2 + (1/3)^-2`
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उत्तर
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(1/4)^-2 + (1/2)^-2 + (1/3)^-2 = (4)^2 + (2)^2 + (3)^2`
= 16 + 4 + 9
= 29
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संबंधित प्रश्न
The value of 35 ÷ 3–6 is ______.
The value of `(2/5)^-2` is ______.
`((-7)/5)^-1` is equal to ______.
`[(2/13)^-6 ÷ (2/13)^3]^3 xx (2/13)^-9` = ______.
(–7)–4 × (–7)2 = (–7)–2
Find the product of the cube of (–2) and the square of (+4).
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

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 | |||
Find x.
5x + 5x – 1 = 750
