簡約 ([3^3-(-5)^2]^2)/({[(-1)^2]^2\)^2}

解

簡約

\frac{[ 3 ^{3} - ( - 5 ) ^{2} ] ^{2}}{{ [ ( - 1 ) ^{2} ] ^{2} } ^{2}}

4

解答ステップ

\frac{[ 3 ^{3} - ( - 5 ) ^{2} ] ^{2}}{{ [ ( - 1 ) ^{2} ] ^{2} } ^{2}}

指数の規則を適用する:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{[ 3 ^{3} - ( - 5 ) ^{2} ] ^{2}}{{ [ ( - 1 ) ^{2} ] ^{2} } ^{2}} = \frac{[ 3 ^{3} - ( - 5 ) ^{2} ]}{{ [ ( - 1 ) ^{2} ] ^{2} }}^{2}

= \frac{[ 3 ^{3} - ( - 5 ) ^{2} ]}{{ [ ( - 1 ) ^{2} ] ^{2} }}^{2}

\frac{3 ^{3} - ( - 5 ) ^{2}}{( ( - 1 ) ^{2} ) ^{2}} = 2

= 2^{2}

2^{2} = 4

= 4