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2187x^{7}
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2187x^{7}
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\frac{6^{7}\left(x^{2}\right)^{7}}{\left(2x\right)^{7}}
Expand \left(6x^{2}\right)^{7}.
\frac{6^{7}x^{14}}{\left(2x\right)^{7}}
To raise a power to another power, multiply the exponents. Multiply 2 and 7 to get 14.
\frac{279936x^{14}}{\left(2x\right)^{7}}
Calculate 6 to the power of 7 and get 279936.
\frac{279936x^{14}}{2^{7}x^{7}}
Expand \left(2x\right)^{7}.
\frac{279936x^{14}}{128x^{7}}
Calculate 2 to the power of 7 and get 128.
2187x^{7}
Cancel out 128x^{7} in both numerator and denominator.
\frac{6^{7}\left(x^{2}\right)^{7}}{\left(2x\right)^{7}}
Expand \left(6x^{2}\right)^{7}.
\frac{6^{7}x^{14}}{\left(2x\right)^{7}}
To raise a power to another power, multiply the exponents. Multiply 2 and 7 to get 14.
\frac{279936x^{14}}{\left(2x\right)^{7}}
Calculate 6 to the power of 7 and get 279936.
\frac{279936x^{14}}{2^{7}x^{7}}
Expand \left(2x\right)^{7}.
\frac{279936x^{14}}{128x^{7}}
Calculate 2 to the power of 7 and get 128.
2187x^{7}
Cancel out 128x^{7} in both numerator and denominator.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}