Advertisements
Advertisements
Question
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
Sum
Advertisements
Solution
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]-`(3^3-2^3)div4^3` `->(a^n=1/(a^n))`
`=(27-8)div64`
`=19xx1/64`
`=19/64`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
2−3
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Write the following in exponential form:
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
Simplify:
\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
Cube of \[\frac{- 1}{2}\] is
For any two rational numbers a and b, a5 × b5 is equal to
Evaluate.
(5−1 × 2−1))× 6−1
