Advertisements
Advertisements
प्रश्न
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
बेरीज
Advertisements
उत्तर
We have:
\[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
`(1/4)^(-12)=(1/4)^(-4x)`
\[( a^m \times a^n = a^{m + n} )\]
-12 = -4x
3 = x
x = 3
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find the value of the following:
(30 + 4−1) × 22
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{3}{4} \right)^{- 2}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
The multiplicative inverse of `(- 5/9)^-99` is ______.
The multiplicative inverse of (– 4)–2 is (4)–2.
Express 16–2 as a power with the base 2.
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
