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
a3 × a–10 = ______.
By multiplying (10)5 by (10)–10 we get ______.
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
Find the value of x–3 if x = (100)1 – 4 ÷ (100)0.
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Find x.
2x + 2x + 2x = 192
If a = – 1, b = 2, then find the value of the following:
ab ÷ ba
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Simplify:
`(1/5)^45 xx (1/5)^-60 - (1/5)^(+28) xx (1/5)^-43`
