Advertisements
Advertisements
Question
Find the value of x for which 52x ÷ 5−3 = 55.
Advertisements
Solution
We have:
`5^(2x)div5^(-3)=5^5`
`5^(2x+3)=5^5` `->a^mdiva^n=a^(m-n)`
2x + 3 = 5
2x = 2
x = 1
Hence, x is 1.
APPEARS IN
RELATED QUESTIONS
Evaluate.
`(1/2)^(-5)`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Express the following rational numbers with a negative exponent:
For a non zero rational number a, (a3)−2 is equal to
Find the multiplicative inverse of the following.
2– 4
The expression for 4–3 as a power with the base 2 is 26.
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
