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xz^{12}
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xz^{12}
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\left(\frac{\sqrt[3]{x}y^{0}}{z^{-4}}\right)^{3}
Use the rules of exponents to simplify the expression.
\frac{\left(\sqrt[3]{x}\right)^{3}\left(y^{0}\right)^{3}}{\left(z^{-4}\right)^{3}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{x^{\frac{1}{3}\times 3}y^{0}}{z^{-4\times 3}}
To raise a power to another power, multiply the exponents.
\frac{x^{1}y^{0}}{z^{-4\times 3}}
Multiply \frac{1}{3} times 3.
\frac{x^{1}y^{0}}{z^{-12}}
Multiply -4 times 3.
\frac{xz^{12}}{1}
For any number a except 0, a^{0}=1.
\left(\frac{\sqrt[3]{x}y^{0}}{z^{-4}}\right)^{3}
Use the rules of exponents to simplify the expression.
\frac{\left(\sqrt[3]{x}\right)^{3}\left(y^{0}\right)^{3}}{\left(z^{-4}\right)^{3}}
To raise the quotient of two numbers to a power, raise each number to the power and then divide.
\frac{x^{\frac{1}{3}\times 3}y^{0}}{z^{-4\times 3}}
To raise a power to another power, multiply the exponents.
\frac{x^{1}y^{0}}{z^{-4\times 3}}
Multiply \frac{1}{3} times 3.
\frac{x^{1}y^{0}}{z^{-12}}
Multiply -4 times 3.
\frac{xz^{12}}{1}
For any number a except 0, a^{0}=1.
Examples
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}