What is y to the fourth power over y?

Question

$\frac{y^{4}}{y}$ $y^4 /y$

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Answer 1 · 2018-04-18T22:08:16

$y^{3}$ $y^3$

Recall that two terms with the same base and different exponents can be simplified as follows:

$\frac{x^{a}}{x^{b}} = x^{a - b}$ $x^a/x^b=x^(a-b)$ , IE, we just subtract the exponents.

So,

$\frac{y^{4}}{y} = \frac{y^{4}}{y^{1}} = y^{4 - 1} = y^{3}$ $y^4/y=y^4/y^1=y^(4-1)=y^3$