Advertisements
Advertisements
Question
Simplify the following
`(4ab^2(-5ab^3))/(10a^2b^2)`
Advertisements
Solution
`(4ab^2(-5ab^3))/(10a^2b^2)`
`=(4xxaxxb^2xx(-5)xxaxxb^3)/(10a^2b^2)`
`=(-20xxa^1xxa^1xxb^2xxb^3)/(10a^2b^2)`
`=(-20xxa^(1+1)xxb^(2+3))/(10a^2b^2)`
`=-2xxa^2xxb^5xxa^-2xxb^-2`
`=-2xxa^(2+(-2))xxb^(5+(-2))`
`=-2xxa^0xxb^3`
`=-2b^3`
APPEARS IN
RELATED QUESTIONS
Solve the following equations for x:
`2^(2x)-2^(x+3)+2^4=0`
Assuming that x, y, z are positive real numbers, simplify the following:
`root5(243x^10y^5z^10)`
If 3x = 5y = (75)z, show that `z=(xy)/(2x+y)`
Find the value of x in the following:
`(root3 4)^(2x+1/2)=1/32`
If `a=x^(m+n)y^l, b=x^(n+l)y^m` and `c=x^(l+m)y^n,` Prove that `a^(m-n)b^(n-l)c^(l-m)=1`
The value of x − yx-y when x = 2 and y = −2 is
If a, b, c are positive real numbers, then \[\sqrt[5]{3125 a^{10} b^5 c^{10}}\] is equal to
The value of m for which \[\left[ \left\{ \left( \frac{1}{7^2} \right)^{- 2} \right\}^{- 1/3} \right]^{1/4} = 7^m ,\] is
The value of \[\sqrt{5 + 2\sqrt{6}}\] is
Find:-
`125^(1/3)`
