化简 a^0b^1c^0d^1e^0f^2g^4

解答

化简

a^{0} b^{1} c^{0} d^{1} e^{0} f^{2} g^{4}

b d f^{2} g^{4}

求解步骤

a^{0} b^{1} c^{0} d^{1} e^{0} f^{2} g^{4}

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

a^{0} c^{0} = (a c)^{0}

= e^{0} b^{1} d^{1} f^{2} g^{4} (a c)^{0}

使用法则

a^{0} = 1, a \neq = 0

(a c)^{0} = 1, e^{0} = 1

= 1 \cdot 1 \cdot b^{1} d^{1} f^{2} g^{4}

使用法则

a^{1} = a

b^{1} = b, d^{1} = d

= 1 \cdot 1 \cdot b d f^{2} g^{4}

乘以:

1 \cdot b d \cdot 1 \cdot f^{2} g^{4} = b d f^{2} g^{4}

= b d f^{2} g^{4}

s im pl i f y \frac{csc ^{2} ( x )}{csc ^{2} ( x )}

s im pl i f y - e^{- t} \cdot e^{- 3 t}

s im pl i f y 53 (53)

s im pl i f y \frac{e ^{(x - 1)}}{e ^{(x + 1)}} d x

e x p an d ((\frac{2}{16})^{7} \cdot (\frac{16}{2})^{- 5})^{\frac{1}{6}}