化简 10c^8x(0.25)^8x(0.75)^2

解答

化简

10 c^{8} x (0.25)^{8} x (0.75)^{2}

0.00008 \dots c^{8} x^{2}

求解步骤

10 c^{8} x \cdot 0.2 5^{8} x \cdot 0.7 5^{2}

使用指数法则:

aa = a^{2}

xx = x^{2}

= 10 c^{8} x^{2} \cdot 0.2 5^{8} \cdot 0.7 5^{2}

= 0.2 5^{8} \cdot 0.7 5^{2} \cdot 10 c^{8} x^{2}

0.2 5^{8} = 0.00001 \dots

= 0.00001 \dots \cdot 0.7 5^{2} \cdot 10 c^{8} x^{2}

0.7 5^{2} = 0.5625

= 0.00001 \dots \cdot 0.5625 \cdot 10 c^{8} x^{2}

数字相乘:

0.00001 \dots \cdot 0.5625 \cdot 10 = 0.00008 \dots

= 0.00008 \dots c^{8} x^{2}

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