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प्रश्न
`(2/5)^3 ÷ (5/2)^3 = 1`
पर्याय
True
False
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उत्तर
This statement is False.
Explanation:
Here, `(2/5)^3 ÷ (5/2)^3 = (2/5)^3 xx (2/5)^3` ...`[∵ (a/b) ÷ (c/d) = a/b xx d/c]`
= `(2/5)^(3 + 3)` ...[∵ am × an = am + n]
= `(2/5)^6`
Hence, `(2/5)^3 ÷ (5/2)^3 ≠ 1`
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संबंधित प्रश्न
Simplify and express the following in exponential form:
`(2^3 xx 3^4 xx 4)/(3 xx 32)`
Say true or false and justify your answer:
30 = (1000)0
Express the following as a product of prime factors only in exponential form:
729 × 64
Simplify:
`(7/2)^8 xx (7/2)^-6`
Solve: `((-2)/5)^2 xx ((-2)/5)^3`
Evaluate: `(1/2)^3`
By what number should (−4)−1 be multiplied so that the product becomes 10−1?
29 × 32 = (2 × 3)9×2
Express the following numbers using exponential form.
729
Express the following numbers using exponential form.
3125
