展开 (7^{2x^2})^{-3x-9}

解答

展开

(7^{2 x^{2}})^{- 3 x - 9}

4 9^{- 3 x^{3} - 9 x^{2}}

求解步骤

(7^{2 x^{2}})^{- 3 x - 9}

使用指数法则:

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

= 7^{2 x^{2} (- 3 x - 9)}

使用指数法则:

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

7^{2 x^{2} (- 3 x - 9)} = (7^{2})^{x^{2} (- 3 x - 9)}

= (7^{2})^{x^{2} (- 3 x - 9)}

7^{2} = 49

= 4 9^{x^{2} (- 3 x - 9)}

乘开

x^{2} (- 3 x - 9) : - 3 x^{3} - 9 x^{2}

= 4 9^{- 3 x^{3} - 9 x^{2}}

e x p an d (2 + 37)^{5}

e x p an d \frac{sin ( z )}{( z ^{2} - 25 ) ( z ^{2} + 9 )}

e x p an d \frac{c N ( k - N )}{k + a N}

s im pl i f y (6 x - 24 y) (\frac{4}{5})

s im pl i f y \frac{( a + b ) ^{2}}{a - b}