Write each of the following functions in the form: f(x)=kx^p?
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After I simplified the expression, how would I write the answers in f(x)=kx^p form?
After I simplified the expression, how would I write the answers in f(x)=kx^p form?
1 Answer
Nov 14, 2017
Explanation:
"using the "color(blue)"laws of exponents"
•color(white)(x)a^mxxa^nhArra^((m+n)) #•color(white)(x)a^m/a^n=a^((m-n))
•color(white)(x)a^(1/2)hArrsqrta
•color(white)(x)a^(m/n)hArrroot(n)(a^m)
"the form "f(x)=kx^plarrcolor(blue)"k is a constant"
(a)
R(t)=4/sqrt(16t)=4/(sqrt16xxsqrtt)=4/(4t^(1/2))=1t^(-1/2)
(b)
T(s)=(6s^-2)(4s^-3)=6xx4xxs^((-2-3))=24s^-5
(c)
K(w)=(w^4)/(4sqrt(w^3))=(w^4)/(4w^(3/2))=1/4w^((4-3/2))=1/4w^(5/2)
