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\left(-a\right)^{2}\left(b^{2}\right)^{2}
Expand \left(\left(-a\right)b^{2}\right)^{2}.
\left(-a\right)^{2}b^{4}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
a^{2}b^{4}
Calculate -a to the power of 2 and get a^{2}.
\left(-a\right)^{2}\left(b^{2}\right)^{2}
Expand \left(\left(-a\right)b^{2}\right)^{2}.
\left(-a\right)^{2}b^{4}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
a^{2}b^{4}
Calculate -a to the power of 2 and get a^{2}.