Advertisements
Advertisements
प्रश्न
Simplify:
उत्तर
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\] `=(2^2/3^2)^3xx1/(1/3)^4xx1/3xx1/6` → ((a/b)n = an/(bn)) and (a−n = 1/(an))
`=(4/9)^3xx1/(1/81)xx1/3xx1/6`
`=4^3/9^3xx81xx1/18` → ((a/b)n = an/(bn))
`=64/729xx81xx1/18`
`=64/9xx1/18`
`=64xx1/162`
`=64/162`
`=32/81`
APPEARS IN
संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
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.
Simplify:
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
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) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
For a non-zero rational number a, a7 ÷ a12 is equal to
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
For a fixed base, if the exponent decreases by 1, the number becomes ______.
