Advertisements
Advertisements
Question
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Simplify
Solution
We have, (−4)5 ÷ (−4)8
= (−4)5-8
= (−4)−3
= `1/(-4)^3` ....`[∵ a^m ÷ a^n = a^(m-n), a^-m = 1/a^m]`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate.
`(1/2)^(-5)`
Simplify:
\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]
Simplify:
\[\left( 3^2 + 2^2 \right) \times \left( \frac{1}{2} \right)^3\]
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[\left( \frac{3}{5} \right)^{- 1} \times \left( \frac{5}{2} \right)^{- 1}\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
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 x, if
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.