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受欢迎的代数 >

化简 ((-1)^10.5^{2+4})/(1!(2+4))

解答

化简

\frac{( - 1 ) ^{1} 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

解答

- 0.00260 \dots

求解步骤

\frac{( - 1 ) ^{1} \cdot 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

使用法则

a^{1} = a

(- 1)^{1} = - 1

= \frac{- 1 \cdot 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

- 1 \cdot 0. 5^{2 + 4} = - 0. 5^{6}

= \frac{- 0. 5 ^{6}}{1 ! ( 2 + 4 )}

数字相加:

2 + 4 = 6

= \frac{- 0. 5 ^{6}}{6 \cdot 1 !}

使用分式法则:

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

= - \frac{0. 5 ^{6}}{1 ! \cdot 6}

0. 5^{6} = 0.015625

= - \frac{0.015625}{6 \cdot 1 !}

1! \cdot 6 = 6

= - \frac{0.015625}{6}

数字相除:

\frac{0.015625}{6} = 0.00260 \dots

= - 0.00260 \dots

流行的例子

因式分解 7x^2-112

f a c t or 7 x^{2} - 112

(x+2)/(x-1)<= 0

\frac{x + 2}{x - 1} \leq 0

因式分解 6c^2+2c^4+c

f a c t or 6 c^{2} + 2 c^{4} + c

x + 6 = 5 x - 26

因式分解 6x^2-13xy+6y^2

f a c t or 6 x^{2} - 13 x y + 6 y^{2}