How do you simplify $y^{3 \sqrt{3}} \div y^{\sqrt{3}}$ $y^(3sqrt3)divy^sqrt3$ ?

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Answer 1 · 2016-10-15T14:17:00

This expression can be simplified to $y^{2 \sqrt{3}}$ $y^(2sqrt(3))$ .

Use the quotient rule of exponents that states $\frac{x^{n}}{x^{m}} = x^{n - m}$ $x^n/x^m = x^(n - m)$ to solve this problem.

$\frac{y^{3 \sqrt{3}}}{y^{\sqrt{3}}} = y^{3 \sqrt{3} - \sqrt{3}} = y^{2 \sqrt{3}}$ $y^(3sqrt(3))/y^(sqrt(3))= y^(3sqrt(3) - sqrt(3)) = y^(2sqrt(3))$

Hopefully this helps!

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