化简 (5p^2)^2*(2p^3)^3

解答

化简

(5 p^{2})^{2} \cdot (2 p^{3})^{3}

200 p^{13}

求解步骤

(5 p^{2})^{2} (2 p^{3})^{3}

化简

(5 p^{2})^{2} : 25 p^{4}

= 25 p^{4} (2 p^{3})^{3}

化简

(2 p^{3})^{3} : 8 p^{9}

= 25 p^{4} \cdot 8 p^{9}

数字相乘:

25 \cdot 8 = 200

= 200 p^{4} p^{9}

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

p^{4} p^{9} = p^{4 + 9}

= 200 p^{4 + 9}

数字相加:

4 + 9 = 13

= 200 p^{13}

s im pl i f y 2 x - y - 8.2 y - 3 y - 6

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

s im pl i f y (x + y)^{6} - x^{6}

f a c t or 9 x^{2} - y^{2} + 6 x + 1

s im pl i f y \frac{( 30 z )}{( 9 z ^{2} - 1 )} + \frac{2}{( 3 z - 1 )} - \frac{5}{( 3 z + 1 )}