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प्रश्न
`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^-`
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उत्तर
`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^bb(underline(0)`
Explanation:
Here, `(6/10)^10 ÷ [(6/13)^5]^2 = (6/13)^10 ÷ (6/13)^(5 xx 2)` ...[∵ (am)n = amn]
= `(6/13)^10 ÷ (6/13)^10` ...[∵ am ÷ an = am – n, (m > n)]
= `(6/13)^(10 - 10)`
= `(6/13)^0`
∴ `(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^0`
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संबंधित प्रश्न
Using laws of exponents, simplify and write the answer in exponential form:
(34)3
Say true or false and justify your answer:
23 > 52
Simplify:
`((2/5)^-2)^-3`
Simplify:
`[(2/3)^-4]^5`
Write the following numbers using positive indices.
`(1/6)^-3`
Using the power rule, (37)−2 = 35
Which of the following is not equal to `((-5)/4)^4`?
Which of the following is not equal to 1?
`[(7/11)^3]^4 = (7/11)^-`
Arrange in descending order:
22+3, (22)3, 2 × 22, `3^5/3^2`, 32 × 30, 23 × 52
