Solve 1/8!*2^8*10!=220

$$\frac { 1 } { 8 ! } \cdot 2 ^ { 8 } \cdot 10 ! = 220$$

Verify

Solution Steps

The factorial of 8 is 40320.

$$\frac{1}{40320}\times 2^{8}\times 10!=220$$

Calculate 2 to the power of 8 and get 256.

$$\frac{1}{40320}\times 256\times 10!=220$$

Multiply \frac{1}{40320} and 256 to get \frac{256}{40320}.

$$\frac{256}{40320}\times 10!=220$$

Reduce the fraction \frac{256}{40320} to lowest terms by extracting and canceling out 128.

$$\frac{2}{315}\times 10!=220$$

The factorial of 10 is 3628800.

$$\frac{2}{315}\times 3628800=220$$

Express \frac{2}{315}\times 3628800 as a single fraction.

$$\frac{2\times 3628800}{315}=220$$

Multiply 2 and 3628800 to get 7257600.

$$\frac{7257600}{315}=220$$

Divide 7257600 by 315 to get 23040.

$$23040=220$$

Compare 23040 and 220.

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