化简 ((4^6a^4b^2))/((2^8a^3b^2))

解答

化简

\frac{( 4 ^{6} \cdot a ^{4} \cdot b ^{2} )}{( 2 ^{8} \cdot a ^{3} \cdot b ^{2} )}

16 a

求解步骤

\frac{4 ^{6} a ^{4} b ^{2}}{2 ^{8} a ^{3} b ^{2}}

约分:

b^{2}

= \frac{4 ^{6} a ^{4}}{2 ^{8} a ^{3}}

因式分解

4^{6} : 2^{12}

= \frac{2 ^{12} a ^{4}}{2 ^{8} a ^{3}}

\frac{2 ^{12}}{2 ^{8}} = 2^{4}

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

化简

\frac{a ^{4}}{a ^{3}} : a

= 2^{4} a

2^{4} = 16

= 16 a

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