# Is the functio m(x)=26(8x)^3 a power function? If it is, write it in the form m(x)=kxp and enter exact values for k and p.

Is the function $m\left(x\right)=26\left(8x{\right)}^{2}$ a power function? If it is, write it in the form $m\left(x\right)=kxp$ and enter exact values for k and p.
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Claire Larson
Given $m\left(x\right)=26\left(8x{\right)}^{3}\phantom{\rule{0ex}{0ex}}=26\left(512{x}^{3}\right)\phantom{\rule{0ex}{0ex}}m\left(x\right)=13312{x}^{3}\phantom{\rule{0ex}{0ex}}m\left(x\right)=k{x}^{p}\phantom{\rule{0ex}{0ex}}k=13312\phantom{\rule{0ex}{0ex}}p=3$