化简 25^{1/2}(x^2)^{1/2}

解答

化简

2 5^{\frac{1}{2}} (x^{2})^{\frac{1}{2}}

5 x

求解步骤

2 5^{\frac{1}{2}} (x^{2})^{\frac{1}{2}}

2 5^{\frac{1}{2}} = 5

= 5 (x^{2})^{\frac{1}{2}}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

(x^{2})^{\frac{1}{2}} = x^{2 \cdot \frac{1}{2}}

= 5 x^{2 \cdot \frac{1}{2}}

2 \cdot \frac{1}{2} = 1

= 5 x^{1}

使用指数法则:

a^{1} = a

x^{1} = x

= 5 x

n^{2} - 2 n - 48

6 y^{4} - 15 y^{3}

\frac{33 !}{6 ! ( 33 - 6 ) !}

x^{2} = 37