Advertisements
Advertisements
Question
Simplify and express the result in power notation with positive exponent.
2−3 × (−7)−3
Simplify
Advertisements
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
Find the value of m for which 5m ÷5−3 = 55.
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Simplify:
\[\left( 4^{- 1} - 5^{- 1} \right) \div 3^{- 1}\]
Simplify:
\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\]
Find x, if
\[\left( \frac{3}{2} \right)^{- 3} \times \left( \frac{3}{2} \right)^5 = \left( \frac{3}{2} \right)^{2x + 1}\]
The multiplicative inverse of `(- 5/9)^-99` is ______.
Express 3–5 × 3–4 as a power of 3 with positive exponent.
