因式分解 \sqrt[4]{81x^8}

解答

因式分解

4 81 x^{8}

3 x^{2}

求解步骤

4 81 x^{8}

使用根式运算法则:

n ab = n a n b,

假定

a \geq 0, b \geq 0

= 481 4 x^{8}

481 = 3

= 3 4 x^{8}

使用指数法则:

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

x^{8} = x^{2 \cdot 4} = (x^{2})^{4}

= 3 4 (x^{2})^{4}

使用根式运算法则:

n a^{n} = a,

假定

a \geq 0

4 (x^{2})^{4} = x^{2}

= 3 x^{2}

f (t) = 3 sin^{(2)} (t)

f a c t or (4.7 x^{10} - 4) - (5.3 x^{102})

f a c t or 8 cos^{3} (x) - 4 cos (x) + 1

f a c t or u \cdot v (x) e^{2 x}

f a c t or \frac{x ^{2} - 9}{3 - x}