Advertisements
Advertisements
प्रश्न
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 2} + \left( \frac{1}{3} \right)^{- 2} + \left( \frac{1}{4} \right)^{- 2}\]
योग
Advertisements
उत्तर
\[\left( \frac{1}{2} \right)^{- 2} +\left( \frac{1}{3} \right)\]-2+14-2=11/22+11/32+11/42 → (a−n = 1/(an))
\[\frac{1}{1/4} + \frac{1}{1/9} + \frac{1}{1/16}\] →((a/b)n =(an/bn))
= 4+9+16
=29
= 4+9+16
=29
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
Simplify:
\[\left( 3^2 + 2^2 \right) \times \left( \frac{1}{2} \right)^3\]
Evaluate:
(−3)−2
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[\left( \frac{3}{5} \right)^{- 1} \times \left( \frac{5}{2} \right)^{- 1}\]
Express the following rational numbers with a negative exponent:
\[\left\{ \left( \frac{7}{3} \right)^4 \right\}^{- 3}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
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) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
\[\left( \frac{1}{5} \right)^0\] is equal to
\[\left( \frac{2}{3} \right)^{- 5} \times \left( \frac{5}{7} \right)^{- 5}\] is equal to
