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.
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( - \frac{4}{7} \right)^{- 1} ?\]
Evaluate:
\[\left( \frac{- 1}{2} \right)^{- 1}\]
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Square of \[\left( \frac{- 2}{3} \right)\] is
Find the multiplicative inverse of the following.
10– 100
Expand the following numbers using exponents.
1025.63
For a fixed base, if the exponent decreases by 1, the number becomes ______.
