Advertisements
Advertisements
Question
Find x, if
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
Sum
Advertisements
Solution
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
\[\left( \frac{5}{4} \right)^{- x+4} = \left( \frac{5}{4} \right)^5\]
-x + 4 = 5
-x = 1
x = -1
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Evaluate.
(−4)−2
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Find x, if
\[\left( \frac{3}{2} \right)^{- 3} \times \left( \frac{3}{2} \right)^5 = \left( \frac{3}{2} \right)^{2x + 1}\]
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
The multiplicative inverse of 1010 is ______.
Express 16–2 as a power with the base 2.
The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.
