Advertisements
Advertisements
प्रश्न
Express 3–5 × 3–4 as a power of 3 with positive exponent.
बेरीज
Advertisements
उत्तर
Using laws of exponents,
am × an = (a)m + n and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ 3–5 × 3–4 = (3)–5 – 4
= (3)–9
= `1/3^9`
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Exponents and Powers - Exercise [पृष्ठ २५७]
APPEARS IN
संबंधित प्रश्न
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0. (−4)−2
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Express the following rational numbers with a negative exponent:
\[\left\{ \left( \frac{7}{3} \right)^4 \right\}^{- 3}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
\[\left( \frac{2}{3} \right)^{- 5}\] is equal to
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] is equal to
Find the multiplicative inverse of the following.
10– 100
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
