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प्रश्न
For a non-zero integer x, x7 ÷ x12 is equal to ______.
विकल्प
x5
x19
x–5
x–19
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उत्तर
For a non-zero integer x, x7 ÷ x12 is equal to x–5.
Explanation:
Using law of exponents,
am ÷ an = (a)m – n ...[∵ a is non-zero integer]
Similarly, x7 ÷ x12 = (x)7 – 12 = (x)–5
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संबंधित प्रश्न
`x^m/y^m = (y/x)^-m`
`a^m = 1/a^-m`
The value of 5–2 is equal to 25.
am × bm = (ab)m
Simplify:
`(((-2)/3)^-2)^3 xx (1/3)^-4 xx 3^-1 xx 1/6`
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
What happens when 1 cm worms are sent through these hook-ups?
Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
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)`
