Evaluate
b^{24}a^{48}
Expand
b^{24}a^{48}
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\left(-a^{-6}\right)^{-8}\left(b^{-3}\right)^{-8}
Expand \left(\left(-a^{-6}\right)b^{-3}\right)^{-8}.
\left(-a^{-6}\right)^{-8}b^{24}
To raise a power to another power, multiply the exponents. Multiply -3 and -8 to get 24.
\left(-1\right)^{-8}\left(a^{-6}\right)^{-8}b^{24}
Expand \left(-a^{-6}\right)^{-8}.
\left(-1\right)^{-8}a^{48}b^{24}
To raise a power to another power, multiply the exponents. Multiply -6 and -8 to get 48.
1a^{48}b^{24}
Calculate -1 to the power of -8 and get 1.
a^{48}b^{24}
For any term t, t\times 1=t and 1t=t.
\left(-a^{-6}\right)^{-8}\left(b^{-3}\right)^{-8}
Expand \left(\left(-a^{-6}\right)b^{-3}\right)^{-8}.
\left(-a^{-6}\right)^{-8}b^{24}
To raise a power to another power, multiply the exponents. Multiply -3 and -8 to get 24.
\left(-1\right)^{-8}\left(a^{-6}\right)^{-8}b^{24}
Expand \left(-a^{-6}\right)^{-8}.
\left(-1\right)^{-8}a^{48}b^{24}
To raise a power to another power, multiply the exponents. Multiply -6 and -8 to get 48.
1a^{48}b^{24}
Calculate -1 to the power of -8 and get 1.
a^{48}b^{24}
For any term t, t\times 1=t and 1t=t.
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
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Limits
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