Advertisements
Advertisements
Question
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
Advertisements
Solution
(3−7 ÷ 3−10) × 3−5
= `[3^(-7-(-10))] xx 3^-5` ...[∵ am × an = am − n]
= `[3^(−7+10) × 3^(−5)]`
= `3^3 xx 3^-5 = 3^(3+(-5))` ...[∵ am × an = am + n]
= `3^(3-5) = 3^-2 = 1/(3)^2` ...`[∵ a^-m = 1/a^m]`
RELATED QUESTIONS
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
Find the value of the following:
Simplify:
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Express the following as a rational number in the form \[\frac{p}{q}:\]
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Simplify:
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
For a non-zero rational number a, a7 ÷ a12 is equal to
Find the multiplicative inverse of the following.
2– 4
