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प्रश्न
For a non-zero rational number p, p13 ÷ p8 is equal to ______.
पर्याय
p5
p21
p–5
p–19
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उत्तर
For a non-zero rational number p, p13 ÷ p8 is equal to p5.
Explanation:
Using law of exponents,
am ÷ an = (a)m – n ...[∵ a is non-zero integer]
Similarly, p13 ÷ p8 = (p)13 – 8 = (p)5
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संबंधित प्रश्न
The value of 35 ÷ 3–6 is ______.
The value of `(1/2^3)^2` is equal to ______.
`(-8/2)^0 = 0`
The value of 5–2 is equal to 25.
am × bm = (ab)m
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.

- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
Supply the missing information for diagram.

Supply the missing information for diagram.

Find x.
`(- 1/7)^-5 ÷ (- 1/7)^-7 = (-7)^x`
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
