化简 (y^6y^7)^7

解答

化简

(y^{6} y^{7})^{7}

y^{91}

求解步骤

(y^{6} y^{7})^{7}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(y^{6} y^{7})^{7} = (y^{6})^{7} (y^{7})^{7}

= (y^{6})^{7} (y^{7})^{7}

化简

(y^{6})^{7} : y^{42}

= y^{42} (y^{7})^{7}

化简

(y^{7})^{7} : y^{49}

= y^{42} y^{49}

使用指数法则:

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

y^{42} y^{49} = y^{42 + 49}

= y^{42 + 49}

数字相加:

42 + 49 = 91

= y^{91}

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