Advertisements
Advertisements
Question
Which of the following is (are) not equal to \[\left\{ \left( \frac{5}{6} \right)^{1/5} \right\}^{- 1/6}\] ?
Options
\[\left\{ \left( \frac{5}{6} \right)^\frac{1}{5} \right\}^{- \frac{3}{6}}\]
\[\frac{1}{\left\{ \left( \frac{5}{6} \right)^{1/5} \right\}^{1/6}}\]
\[\left( \frac{6}{5} \right)^{1/30}\]
\[\left( \frac{5}{6} \right)^{- 1/30}\]
Advertisements
Solution
We have to find the value of `{(5/6)^(1/5)}^((-1) / 6)`
So,
`{(5/6)^(1/5)}^((-1) / 6) = 5^(1/5 xx (-1)/6) / 6^(1/5 xx (-1)/6)`
`=5^(-1/30)/(6^((-1)/30))`
`=(1/(5^(-1/30))) / (1/(6^(1/30))`
`{(5/6)^(1/5)}^((-1) / 6)` = `1/(5^(1/30)) xx (6^(1/30))/1`
= `(6^(1/30))/5^(1/30)`
= `(6/5)^(1/30)`
APPEARS IN
RELATED QUESTIONS
Simplify:
`((5^-1xx7^2)/(5^2xx7^-4))^(7/2)xx((5^-2xx7^3)/(5^3xx7^-5))^(-5/2)`
Show that:
`(a^(x+1)/a^(y+1))^(x+y)(a^(y+2)/a^(z+2))^(y+z)(a^(z+3)/a^(x+3))^(z+x)=1`
Find the value of x in the following:
`5^(x-2)xx3^(2x-3)=135`
If `2^x xx3^yxx5^z=2160,` find x, y and z. Hence, compute the value of `3^x xx2^-yxx5^-z.`
Simplify:
`(x^(a+b)/x^c)^(a-b)(x^(b+c)/x^a)^(b-c)(x^(c+a)/x^b)^(c-a)`
When simplified \[\left( - \frac{1}{27} \right)^{- 2/3}\] is
The value of \[\left\{ 8^{- 4/3} \div 2^{- 2} \right\}^{1/2}\] is
If \[\frac{x}{x^{1 . 5}} = 8 x^{- 1}\] and x > 0, then x =
If o <y <x, which statement must be true?
If \[x = \sqrt{6} + \sqrt{5}\],then \[x^2 + \frac{1}{x^2} - 2 =\]
