Express the following in the form kx^n where k and n are constants.
(a) y=x^3
(b)y=3x^-1
(c) y=x^3/27
To express each of the following in the form kx^n where k and n are constants.
What is algebra?
A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given that:
y=1/27x^3
express each of the following in the form kx^n where k and n are constants.
(a) y^1/3
Let y^1/3=x
by cubing both sides we get,
y=x^3
The equation in the form of kx^n
where,
k=1
n=3
(b) 3y^-1
Let 3y^-1=x
3/y=x
y=3/x
By simplify
y=3x^-1
The equation in the form of kx^n
where,
k=3
n=-1
(c) √(27y)
Let (27y)^1/3=x
by cubing both sides we get,
27y=x^3
y=x^3/27
The equation in the form of kx^n
where,
k=1/27
n=3
Learn more about algebra here:
https://brainly.com/question/28050991
#SPJ1
