Advertisements
Advertisements
Question
Assuming that x, y, z are positive real numbers, simplify the following:
`(x^-4/y^-10)^(5/4)`
Advertisements
Solution
We have to simplify the following, assuming that x, y, z are positive real numbers
Given `(x^-4/y^-10)^(5/4)`
`=(x^-4)^(5/4)/(y^-10)^(5/4)`
`=x^(-4xx5/4)/y^(-10xx5/4)`
`=x^-5/y^(-25/2)`
`=y^(25/2)/x^5`
APPEARS IN
RELATED QUESTIONS
Find:-
`9^(3/2)`
Prove that:
`(x^a/x^b)^(a^2+ab+b^2)xx(x^b/x^c)^(b^2+bc+c^2)xx(x^c/x^a)^(c^2+ca+a^2)=1`
Prove that:
`(2^n+2^(n-1))/(2^(n+1)-2^n)=3/2`
Show that:
`1/(1+x^(a-b))+1/(1+x^(b-a))=1`
Show that:
`(x^(a^2+b^2)/x^(ab))^(a+b)(x^(b^2+c^2)/x^(bc))^(b+c)(x^(c^2+a^2)/x^(ac))^(a+c)=x^(2(a^3+b^3+c^3))`
If (x − 1)3 = 8, What is the value of (x + 1)2 ?
The seventh root of x divided by the eighth root of x is
The value of \[\sqrt{5 + 2\sqrt{6}}\] is
If \[x = \sqrt{6} + \sqrt{5}\],then \[x^2 + \frac{1}{x^2} - 2 =\]
Find:-
`32^(2/5)`
