Advertisements
Advertisements
प्रश्न
Simplify and express the result in power notation with positive exponent.
(3−7 ÷ 3−10) × 3−5
Advertisements
उत्तर
(3−7 ÷ 3−10) × 3−5
= `[3^(-7-(-10))] xx 3^-5` ...[∵ am × an = am − n]
= `[3^(−7+10) × 3^(−5)]`
= `3^3 xx 3^-5 = 3^(3+(-5))` ...[∵ am × an = am + n]
= `3^(3-5) = 3^-2 = 1/(3)^2` ...`[∵ a^-m = 1/a^m]`
संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
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 as a rational number in the form \[\frac{p}{q}:\]
Simplify:
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
Find the value of (2−1 × 4−1) ÷2−2.
The expression for 4–3 as a power with the base 2 is 26.
