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受欢迎的初等代数 >

化简 ((8^2-2^5))/((24/6))+3^2

解答

化简

\frac{( 8 ^{2} - 2 ^{5} )}{( \frac{24}{6} )} + 3^{2}

解答

17

求解步骤

\frac{8 ^{2} - 2 ^{5}}{\frac{24}{6}} + 3^{2}

\frac{8 ^{2} - 2 ^{5}}{\frac{24}{6}} = 8

\frac{8 ^{2} - 2 ^{5}}{\frac{24}{6}}

使用分式法则:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{( 8 ^{2} - 2 ^{5} ) \cdot 6}{24}

消掉

\frac{( 8 ^{2} - 2 ^{5} ) \cdot 6}{24} : 8

\frac{( 8 ^{2} - 2 ^{5} ) \cdot 6}{24}

因式分解数字:

24 = 6 \cdot 4

= \frac{( 8 ^{2} - 2 ^{5} ) \cdot 6}{6 \cdot 4}

约分:

6

= \frac{8 ^{2} - 2 ^{5}}{4}

\frac{8 ^{2} - 2 ^{5}}{4} = 8

\frac{8 ^{2} - 2 ^{5}}{4}

8^{2} - 2^{5} = 32

8^{2} - 2^{5}

8^{2} = 64

= 64 - 2^{5}

2^{5} = 32

= 64 - 32

数字相减:

64 - 32 = 32

= 32

= \frac{32}{4}

数字相除:

\frac{32}{4} = 8

= 8

= 8

= 8

3^{2} = 9

3^{2}

3^{2} = 9

= 9

= 8 + 9

数字相加:

8 + 9 = 17

= 17

流行的例子

3*2^4-16*2^3+24*4-10

3 \cdot 2^{4} - 16 \cdot 2^{3} + 24 \cdot 4 - 10

dectofrac 0.125

d ec t o f r a c 0.125

s im pl i f y 3 \cdot 3 \cdot 3

dectofrac 48772710.4

d ec t o f r a c 48772710.4

s im pl i f y \frac{72}{9} + 7