# Simplify: (x^2)(y^5)(x)=? a) x^2y, b) x^2y^5 c) x^3 y^5, d) x^7

Simplify: $\left({x}^{2}\right)\left({y}^{5}\right)\left(x\right)=?$
a) ${x}^{2}y$
b) ${x}^{2}{y}^{5}$
c) ${x}^{3}{y}^{5}$
d) ${x}^{7}$
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latatuy
Step 1
You can rearange these and put the "x" variables together.
$\left({x}^{2}\right)×\left({y}^{5}\right)×\left(x\right)=\left({x}^{2}\right)×\left(x\right)×\left({y}^{5}\right)$
You can add the exponents of variables that you are multiplying, so add the ${x}^{2}$ and the x. THe x is the same as ${x}^{1}$ , so add the 2 and 1 to have the exponent of 3
${x}^{3}{y}^{5}$
You cannot combine different variables, so this is your final answer. C.
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Bairaxx
Step 1
When multiplying variables with exponents any common variables are able to have their exponents added. y has no other common variable in the equation so it remains ${y}^{5}$ . However there is an ${x}^{2}$ and an ${x}^{1}$ which becomes ${x}^{3}$ . Therefore the answer is C.