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Question
The value of `1/4^-2` is equal to 16.
Options
True
False
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Solution
This statement is True.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `1/(4^-2) = 4^2`
= 4 × 4
= 16
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RELATED QUESTIONS
Which of the following is not the reciprocal of `(2/3)^4`?
The value of [2–1 × 3–1]–1 is ______.
(–6)0 = –1
(–7)–4 × (–7)2 = (–7)–2
Fill in the blanks
What happens when 1 cm worms are sent through these hook-ups?
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
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 | |||
Find x.
23x = 82x + 1
