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Question
Find the value of n.
`6^n/6^-2 = 6^3`
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Solution
Given, `6^n/6^-2 = 6^3`
Using law of exponents,
`6^n/6^-2 = 6^3` ...[∵ a is non-zero integer]
⇒ 6n + 2 = 63 ...[∵ am ÷ an = (a)m – n]
On comparing both sides, we get
n + 2 = 3
⇒ n = 1
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For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Supply the missing information for diagram.
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.
`(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
