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प्रश्न
Fill in the blanks
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उत्तर
`144 xx 2^-3 = 144 xx 1/8` = 18
`18 xx 12^-1 = 18 xx 1/12` = `bb(3/2)`
`3/2 xx 3^-2 = 3/2 xx 1/3^2 = 1/(2 xx 3)` = `bb(1/6)`
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संबंधित प्रश्न
3–2 can be written as ______.
If y be any non-zero integer, then y0 is equal to ______.
If x be any integer different from zero and m, n be any integers, then (xm)n is equal to ______.
The value of [3–1 × 4–1]2 is ______.
Simplify:
(25 ÷ 28) × 2–7
Find the value of x–3 if x = (100)1 – 4 ÷ (100)0.
Find the multiplicative inverse of (–7)–2 ÷ (90)–1.
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.
By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1?
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
