( { \left( { 64 }^{ \frac{ 2 }{ 3 } } \right) }^{ \frac{ -1 }{ 2 } } =
Evaluate
\frac{1}{4}=0.25
Factor
\frac{1}{2 ^ {2}} = 0.25
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\left(64^{\frac{2}{3}}\right)^{-\frac{1}{2}}
Use the rules of exponents to simplify the expression.
64^{\frac{2}{3}\left(-\frac{1}{2}\right)}
To raise a power to another power, multiply the exponents.
64^{-\frac{1}{3}}
Multiply \frac{2}{3} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
\frac{1}{4}
Raise 64 to the power -\frac{1}{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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
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