Advertisements
Advertisements
Question
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Sum
Advertisements
Solution
\[( 2^2 + 3^2 - 4^2 ) \div \left( \frac{3}{2} \right)^2 = (4 + 9 - 16) \times \frac{9}{4}\] `->((a/b)^n=(a^n)/(b^n))`
\[= - 3 \times \frac{4}{9}\] ...(We know that `1/a div 1/b = 1/a xx b/1`)
`-4/3`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the value of m for which 5m ÷5−3 = 55.
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\left( \frac{1}{2} \right)^{- 5}\]
Simplify:
\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Simplify:
\[\left\{ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right\} \div \left( \frac{1}{4} \right)^{- 3}\]
Find x, if
\[\left( \frac{8}{3} \right)^{2x + 1} \times \left( \frac{8}{3} \right)^5 = \left( \frac{8}{3} \right)^{x + 2}\]
\[\left( \frac{- 3}{2} \right)^{- 1}\] is equal to
For a non zero rational number a, (a3)−2 is equal to
Find the value of (30 + 4−1) × 22.
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
