단순화 (13/4)^{3/2}

해법

단순화

(\frac{13}{4})^{\frac{3}{2}}

\frac{13 \cdot 1 3 ^{\frac{1}{2}}}{8}

십진법

5.85902 \dots

솔루션 단계

(\frac{13}{4})^{\frac{3}{2}}

지수 규칙 적용:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 3 ^{\frac{3}{2}}}{4 ^{\frac{3}{2}}}

4^{\frac{3}{2}} = 8

= \frac{1 3 ^{\frac{3}{2}}}{8}

1 3^{\frac{3}{2}} = 13 \cdot 1 3^{\frac{1}{2}}

= \frac{13 \cdot 1 3 ^{\frac{1}{2}}}{8}