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?

1 Answer
Jim G.
Nov 14, 2017

#"see explanation"#

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)#

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