Advertisements
Advertisements
Question
Find x, if
\[\left( \frac{3}{2} \right)^{- 3} \times \left( \frac{3}{2} \right)^5 = \left( \frac{3}{2} \right)^{2x + 1}\]
Sum
Advertisements
Solution
We have:
\[\left( \frac{3}{2} \right)^{- 3} \times \left( \frac{3}{2} \right)^5 = \left( \frac{3}{2} \right)^{2x + 1}\]
`(3/2)^2=(3/2)^(2x+1)`
2 = 2x + 1
1 = 2x
`1/2=x`
x = `1/2`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Write the following in exponential form:
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following rational numbers with a negative exponent:
\[\left( \frac{3}{5} \right)^4\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{3}{4} \right)^{- 2}\]
Express the following rational numbers with a positive exponent:
\[4^3 \times 4^{- 9}\]
\[\left( \frac{2}{3} \right)^{- 5}\] is equal to
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
The expression for 4–3 as a power with the base 2 is 26.
