Advertisements
Advertisements
Question
Write \[\left( 625 \right)^{- 1/4}\] in decimal form.
Advertisements
Solution
We have to write `(625)^(-1/4)`in decimal form. So,
\[\left( 625 \right)^\frac{- 1}{4} = \frac{1}{{625}^\frac{1}{4}}\]
\[ = \left( \frac{1}{\left( 5^4 \right)} \right)^\frac{1}{4}\]
`(625)^(-1/4) = (1 /5)^(4 xx 1/4)`
`=1/5`
= 0.2
Hence the decimal form of `(625)^(-1/4)` is 0.2
APPEARS IN
RELATED QUESTIONS
Assuming that x, y, z are positive real numbers, simplify the following:
`(sqrt(x^-3))^5`
Simplify:
`root3((343)^-2)`
Prove that:
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
Prove that:
`((0.6)^0-(0.1)^-1)/((3/8)^-1(3/2)^3+((-1)/3)^-1)=(-3)/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`
Solve the following equation:
`3^(x+1)=27xx3^4`
The value of \[\left\{ \left( 23 + 2^2 \right)^{2/3} + (140 - 19 )^{1/2} \right\}^2 ,\] is
When simplified \[(256) {}^{- ( 4^{- 3/2} )}\] is
The value of 64-1/3 (641/3-642/3), is
Simplify:
`(9^(1/3) xx 27^(-1/2))/(3^(1/6) xx 3^(- 2/3))`
