Advertisements
Advertisements
Question
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
Simplify
Solution
2−3 × (−7)−3
= `1/2^3 xx 1/(-7)^3`
= `1/[2xx(-7)]^3` ...[∵ am . bm = (ab)m]
= `1/(-14)^3`
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[\left( \frac{1}{4} \right)^{- 1}\]
Simplify:
\[\left( 4^{- 1} - 5^{- 1} \right) \div 3^{- 1}\]
Find x, if
\[\left( \frac{3}{2} \right)^{- 3} \times \left( \frac{3}{2} \right)^5 = \left( \frac{3}{2} \right)^{2x + 1}\]
Find the value of x for which 52x ÷ 5−3 = 55.
Find the multiplicative inverse of the following.
10– 100
The multiplicative inverse of (– 4)–2 is (4)–2.
Express 3–5 × 3–4 as a power of 3 with positive exponent.
