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\frac{0.1^{4}\left(-0.1\right)^{2}}{0.1^{4}}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
\left(-0.1\right)^{2}
Cancel out 0.1^{4} in both numerator and denominator.
0.01
Calculate -0.1 to the power of 2 and get 0.01.