化简 (-7a^3b^7c)^2

解答

化简

(- 7 a^{3} b^{7} c)^{2}

49 a^{6} b^{14} c^{2}

求解步骤

(- 7 a^{3} b^{7} c)^{2}

使用指数法则:

(- a)^{n} = a^{n},

若

n

是偶数

(- 7 a^{3} b^{7} c)^{2} = (7 a^{3} b^{7} c)^{2}

= (7 a^{3} b^{7} c)^{2}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(7 a^{3} b^{7} c)^{2} = 7^{2} (a^{3})^{2} (b^{7})^{2} c^{2}

= 7^{2} (a^{3})^{2} (b^{7})^{2} c^{2}

7^{2} = 49

= 49 (a^{3})^{2} (b^{7})^{2} c^{2}

化简

(a^{3})^{2} : a^{6}

= 49 a^{6} (b^{7})^{2} c^{2}

化简

(b^{7})^{2} : b^{14}

= 49 a^{6} b^{14} c^{2}

s im pl i f y ((x - 3)^{1})^{3} + ((x - 3^{2})^{1})^{3}

s im pl i f y (5 x^{2})^{- 2} \cdot 5^{3} x^{5}

s im pl i f y (\frac{3 a + 1}{( 4 b )})^{3}

s im pl i f y \frac{3}{( x - 5 )} - \frac{4}{( x + 5 )}

s im pl i f y \frac{( a ^{- \frac{4}{7}} b ^{- 3} )}{( a ^{- \frac{4}{3}} b ^{\frac{4}{3}} )}