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11a^{6}
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11a^{6}
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\left(2a^{2}\right)^{3}+a^{6}\times 3
To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.
2^{3}\left(a^{2}\right)^{3}+a^{6}\times 3
Expand \left(2a^{2}\right)^{3}.
2^{3}a^{6}+a^{6}\times 3
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
8a^{6}+a^{6}\times 3
Calculate 2 to the power of 3 and get 8.
11a^{6}
Combine 8a^{6} and a^{6}\times 3 to get 11a^{6}.
\left(2a^{2}\right)^{3}+a^{6}\times 3
To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.
2^{3}\left(a^{2}\right)^{3}+a^{6}\times 3
Expand \left(2a^{2}\right)^{3}.
2^{3}a^{6}+a^{6}\times 3
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
8a^{6}+a^{6}\times 3
Calculate 2 to the power of 3 and get 8.
11a^{6}
Combine 8a^{6} and a^{6}\times 3 to get 11a^{6}.
Examples
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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}