Advertisements
Advertisements
प्रश्न
Find the value of m for which 5m ÷5−3 = 55.
Advertisements
उत्तर
5m ÷ 5−3 = 55
`5^(m-(-3)) = 5^5` ... [am÷ an = am-n]
5m + 3 = 55 ...[∵ am = an ⇒ m = n]
Since the powers have the same bases on both sides, their respective exponents must be equal.
m + 3 = 5
m = 5 − 3
m = 2
APPEARS IN
संबंधित प्रश्न
Evaluate.
`(1/2)^(-5)`
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
Find the value of the following:
Evaluate:
(−3)−2
Express the following rational numbers with a positive exponent:
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
