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प्रश्न
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
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उत्तर
RHS = 2n – 2
= 2n ÷ 22 ...[∵ am ÷ an = (a)m – n]
= `2^n/4`
= LHS
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संबंधित प्रश्न
By multiplying (10)5 by (10)–10 we get ______.
The value of [3–1 × 4–1]2 is ______.
`10^-2 = 1/100`
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
`(2/3)^-2 xx (2/3)^-5 = (2/3)^10`
Find the value of n.
`6^n/6^-2 = 6^3`
What happens when 1 cm worms are sent through these hook-ups?
Find a single repeater machine that will do the same work as hook-up.
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)`
