Advertisements
Advertisements
Question
Simplify the following:
`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`
Advertisements
Solution
`(5^(n+3)-6xx5^(n+1))/(9xx5^x-2^2xx5^n)`
`=(5^(n+1)(5^2-6))/(5^n(9xx2^2))`
`=(5^nxx5xx(25-6))/(5^n(9-4))`
`=(5xx19)/5`
= 19
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify the following
`(a^(3n-9))^6/(a^(2n-4))`
If abc = 1, show that `1/(1+a+b^-1)+1/(1+b+c^-1)+1/(1+c+a^-1)=1`
If 49392 = a4b2c3, find the values of a, b and c, where a, b and c are different positive primes.
Show that:
`{(x^(a-a^-1))^(1/(a-1))}^(a/(a+1))=x`
If `3^(x+1)=9^(x-2),` find the value of `2^(1+x)`
Simplify:
`root(lm)(x^l/x^m)xxroot(mn)(x^m/x^n)xxroot(nl)(x^n/x^l)`
If 24 × 42 =16x, then find the value of x.
If \[\sqrt{13 - a\sqrt{10}} = \sqrt{8} + \sqrt{5}, \text { then a } =\]
Find:-
`32^(2/5)`
Find:-
`16^(3/4)`
