Advertisements
Advertisements
Question
Find the value of m for which 5m ÷5−3 = 55.
Advertisements
Solution
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
RELATED QUESTIONS
Find the value of `{((-2)/3)^(-2)}^2`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Simplify:
Express the following rational numbers with a negative exponent:
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
Find the multiplicative inverse of the following.
The multiplicative inverse of `(- 5/9)^-99` is ______.
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.
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
