Advertisements
Advertisements
Question
Simplify:
Advertisements
Solution
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\] `=(9-4)xx1/(2/3)^3` `->(a^(-1)=1/a^n)`
`=5xx1/(8/27)` `->((a/b)^n=(a^n)/(b^n))`
`5xx27/8`
`=135/8`
RELATED QUESTIONS
Find the value of `{((-2)/3)^(-2)}^2`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
Cube of \[\frac{- 1}{2}\] is
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
Find the value of (30 + 4−1) × 22.
Expand the following numbers using exponents.
1025.63
