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Question
Simplify:
`((2/5)^-2)^-3`
Simplify
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Solution
It is known that (am)n = amn, where m and n are integers and a is a non-zero rational number.
`((2/5)^-2)^-3`
`= (2/5)^((-2)xx(-3))`
`= (2/5)^6`
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RELATED QUESTIONS
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`[(2/3)^-4]^5`
Simplify:
`[(2/5)^-3]^2`
Write the following numbers using positive indices.
`(11/3)^-5`
Using the power rule, (37)−2 = 35
Solve for x: `(2^(2x - 1))/(2^(x + 2))` = 4
Solve for x: `(5^5 xx 5^(-4) xx 5^x)/(5^12)` = 5−5
Simplify using law of exponents.
(xm)0
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`(6/13)^10 ÷ [(6/13)^5]^2 = (6/13)^-`
Arrange in descending order:
22+3, (22)3, 2 × 22, `3^5/3^2`, 32 × 30, 23 × 52
