Advertisements
Advertisements
प्रश्न
Simplify:
`(1/27)^((-2)/3)`
Advertisements
उत्तर
`(1/27)^((-2)/3) = (1/3^3)^((-2)/3)` ...`[∵ 1/a = a^-1]`
= `(3^-3)^((-2)/3)`
= `3^(-3 xx -2/3)` ...[∵ (am)n = amn]
= 32
= 9
APPEARS IN
संबंधित प्रश्न
Simplify the following expressions:
`(11 + sqrt11)(11 - sqrt11)`
Rationalise the denominator of the following:
`3/(2sqrt5)`
Rationalise the denominator of the following
`sqrt2/sqrt5`
Simplify:
`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
Write the value of \[\left( 2 + \sqrt{3} \right) \left( 2 - \sqrt{3} \right) .\]
Rationalise the denominator of the following:
`1/(sqrt7-2)`
Rationalise the denominator of the following:
`sqrt(6)/(sqrt(2) + sqrt(3))`
If `a = (3 + sqrt(5))/2`, then find the value of `a^2 + 1/a^2`.
