# Use the properties of exponents to simplify. Your answer should only contain pos

Use the properties of exponents to simplify. Your answer should only contain positive exponents. Show all steps.
$\frac{3{x}^{11}{y}^{0}}{\left(-2{x}^{2}{y}^{4}{\right)}^{3}}$

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oppturf

Exponent of exponent multiplies. And ${y}^{0}=1$
$\frac{3{x}^{11}{y}^{0}}{{\left(-2{x}^{2}{y}^{4}\right)}^{3}}$
$=\frac{3{x}^{11}\left(1\right)}{{\left(-2\right)}^{3}{x}^{6}{y}^{12}}$
$=\frac{3{x}^{11}}{-8{x}^{6}{y}^{12}}$
For division we subtract the exponents.
$=\frac{-3{x}^{11-6}}{8{y}^{12}}$
$=-\frac{3{x}^{5}}{8{y}^{12}}$