Evaluate
\frac{1}{64y^{4}x^{8}}
Expand
\frac{1}{64y^{4}x^{8}}
Quiz
Algebra
5 problems similar to:
( 8 x y ) ^ { - 2 } \cdot \frac { x ^ { - 5 } y ^ { - 1 } } { x y }
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8^{-2}x^{-2}y^{-2}\times \frac{x^{-5}y^{-1}}{xy}
Expand \left(8xy\right)^{-2}.
\frac{1}{64}x^{-2}y^{-2}\times \frac{x^{-5}y^{-1}}{xy}
Calculate 8 to the power of -2 and get \frac{1}{64}.
\frac{1}{64}x^{-2}y^{-2}\times \frac{1}{y^{2}x^{6}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{1}{64y^{2}x^{6}}x^{-2}y^{-2}
Multiply \frac{1}{64} times \frac{1}{y^{2}x^{6}} by multiplying numerator times numerator and denominator times denominator.
\frac{x^{-2}}{64y^{2}x^{6}}y^{-2}
Express \frac{1}{64y^{2}x^{6}}x^{-2} as a single fraction.
\frac{1}{64y^{2}x^{8}}y^{-2}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{y^{-2}}{64y^{2}x^{8}}
Express \frac{1}{64y^{2}x^{8}}y^{-2} as a single fraction.
\frac{1}{64y^{4}x^{8}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
8^{-2}x^{-2}y^{-2}\times \frac{x^{-5}y^{-1}}{xy}
Expand \left(8xy\right)^{-2}.
\frac{1}{64}x^{-2}y^{-2}\times \frac{x^{-5}y^{-1}}{xy}
Calculate 8 to the power of -2 and get \frac{1}{64}.
\frac{1}{64}x^{-2}y^{-2}\times \frac{1}{y^{2}x^{6}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{1}{64y^{2}x^{6}}x^{-2}y^{-2}
Multiply \frac{1}{64} times \frac{1}{y^{2}x^{6}} by multiplying numerator times numerator and denominator times denominator.
\frac{x^{-2}}{64y^{2}x^{6}}y^{-2}
Express \frac{1}{64y^{2}x^{6}}x^{-2} as a single fraction.
\frac{1}{64y^{2}x^{8}}y^{-2}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{y^{-2}}{64y^{2}x^{8}}
Express \frac{1}{64y^{2}x^{8}}y^{-2} as a single fraction.
\frac{1}{64y^{4}x^{8}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}