Advertisements
Advertisements
Question
Simplify the following
`(a^(3n-9))^6/(a^(2n-4))`
Solution
`(a^(3n-9))^6/(a^(2n-4))`
`=a^(6(3n-9))/a^(2n-4)`
`=a^(18n-54)/a^(2n-4)`
`=a^(18n-54)xxa^-(2n-4)`
`=a^(18n-54)xxa^(-2n+4)`
`=a^(18n-54-2n+4)`
`=a^(16n-50)`
APPEARS IN
RELATED QUESTIONS
If a = 3 and b = -2, find the values of :
aa + bb
Solve the following equation for x:
`2^(5x+3)=8^(x+3)`
Solve the following equations for x:
`3^(2x+4)+1=2.3^(x+2)`
Determine `(8x)^x,`If `9^(x+2)=240+9^x`
Solve the following equation:
`sqrt(a/b)=(b/a)^(1-2x),` where a and b are distinct primes.
Simplify:
`root(lm)(x^l/x^m)xxroot(mn)(x^m/x^n)xxroot(nl)(x^n/x^l)`
Which one of the following is not equal to \[\left( \frac{100}{9} \right)^{- 3/2}\]?
If 9x+2 = 240 + 9x, then x =
If \[\sqrt{5^n} = 125\] then `5nsqrt64`=
The simplest rationalising factor of \[\sqrt[3]{500}\] is
