Advertisements
Advertisements
प्रश्न
Find x.
`(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
Advertisements
उत्तर
We have, `(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
Then, `(2/5)^(2x + 6 + 3) = (2/5)^(x + 2)`
On comparing powers of `(2/5)`, we get
2x + 6 + 3 = x + 2
⇒ 2x + 9 = x + 2
⇒ x = –7
APPEARS IN
संबंधित प्रश्न
If y be any non-zero integer, then y0 is equal to ______.
`(-5/7)^-5` is equal to ______.
`x^m/y^m = (y/x)^-m`
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
`(125 xx x^-3)/(5^-3 xx 25 xx x^-6)`
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
If a = – 1, b = 2, then find the value of the following:
ab ÷ ba
