Advertisements
Advertisements
प्रश्न
Find the value of the following:
(2−1 × 4−1) ÷ 2−2
बेरीज
Advertisements
उत्तर
According to the rules of exponents,
(am)n = amn, a−m = 1/am
(2−1 × 4−1) ÷ 2−2
= [2−1 × {(2)2}−1] ÷ 2−2[Since 4 = 2 × 2 = 22]
= (2−1 × 2−2) ÷ 2−2 [∵(am)n = amn]
= 2−3 ÷ 2−2 [∵am × an = am + n]
= 2−3 + 2 = 2−1
1/2 [∵a−m = 1/am]
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Express the following as a rational number in the form \[\frac{p}{q}:\]
(−7)−1
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1}\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
\[\left( \frac{- 3}{2} \right)^{- 1}\] is equal to
\[\left( \frac{2}{3} \right)^{- 5} \times \left( \frac{5}{7} \right)^{- 5}\] is equal to
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
Expand the following numbers using exponents.
1025.63
Express 3–5 × 3–4 as a power of 3 with positive exponent.
