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प्रश्न
The value of `(1/2^3)^2` is equal to ______.
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उत्तर
The value of `(1/2^3)^2` is equal to `underlinebb(1/2^6)`.
Explanation:
Using law of exponents,
(am)n = (a)mn ...[∵ a is non-zero integer]
∵ `(1/2^3)^2 = (1^3/2^3)^2`
= `(1/2)^(3 xx 2)`
= `(1/2)^6`
= `1/2^6` ...[∵ (1)m = 1]
Hence, `(1/2^3)^2 = 1/2^6`
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संबंधित प्रश्न
The value of (–2)2×3 – 1 is ______.
For a non-zero integer x, (x4)–3 is equal to ______.
On multiplying ______ by 2–5 we get 25.
am × bm = (ab)m
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
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:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
