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
Simplify:
Simplify:
\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]
Write the following in exponential form:
Express the following rational numbers with a positive exponent:
Simplify:
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 \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Find the value of (2−1 × 4−1) ÷2−2.
Expand the following numbers using exponents.
1256.249
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
