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प्रश्न
By multiplying `(5/3)^4` by ______ we get 54.
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उत्तर
By multiplying `(5/3)^4` by 81 we get 54.
Explanation:
Let x be multiplied with `(5/3)^4` to get 54.
So, `(5/3)^4 xx x = 5^4`
∴ `x = 5^4/(5/3)^4 = 5^4 xx 3^4 xx 5^-4`
= (5)4 – 4 × 34 ...`[∵ a^-m = 1/a^m, a^m xx a^n = (a)^(m + n)]`
= 50 × 34
= 1 × 81
= 81
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संबंधित प्रश्न
If y be any non-zero integer, then y0 is equal to ______.
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a (× 23) machine followed by (× 2–2) machine.
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Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
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| Position of Square on chess board |
Amount (in Rs) |
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