Advertisements
Advertisements
प्रश्न
The value of `(2/5)^-2` is ______.
विकल्प
`4/5`
`4/25`
`25/4`
`5/2`
Advertisements
उत्तर
The value of `(2/5)^-2` is `underlinebb(25/4)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(2/5)^-2 = 1/(2/5)^2`
= `1/(4/25)`
= `25/4`
APPEARS IN
संबंधित प्रश्न
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
By multiplying (10)5 by (10)–10 we get ______.
By multiplying `(5/3)^4` by ______ we get 54.
(–5)–2 × (–5)–3 = (–5)–6
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
By what number should (–15)–1 be divided so that quotient may be equal to (–15)–1?
Find x so that `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
