Solve 38+(4-1)*5^-22*4=

$$38 + ( 4 - 1 ) \cdot 5 ^ { - 2 } 2 \cdot 4 =$$

Evaluate

$$\frac{974}{25}=38.96$$

Solution Steps

Subtract 1 from 4 to get 3.

$$38+3\times 5^{-2}\times 2\times 4$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$38+3\times \frac{1}{25}\times 2\times 4$$

Multiply 3 and \frac{1}{25} to get \frac{3}{25}.

$$38+\frac{3}{25}\times 2\times 4$$

Multiply \frac{3}{25} and 2 to get \frac{6}{25}.

$$38+\frac{6}{25}\times 4$$

Multiply \frac{6}{25} and 4 to get \frac{24}{25}.

$$38+\frac{24}{25}$$

Add 38 and \frac{24}{25} to get \frac{974}{25}.

$$\frac{974}{25}$$

Factor

$$\frac{2 \cdot 487}{5 ^ {2}} = 38\frac{24}{25} = 38.96$$