Solve 1.51+0.059/5log_{10}({0.00001^8})

$$1.51+ \frac{ 0.059 }{ 5 } \log_{ 10 }({ { 0.00001 }^{ 8 } })$$

Evaluate

$$1.038$$

Solution Steps

Expand \frac{0.059}{5} by multiplying both numerator and the denominator by 1000.

$$1.51+\frac{59}{5000}\log_{10}\left(0.00001^{8}\right)$$

Calculate 0.00001 to the power of 8 and get 0.0000000000000000000000000000000000000001.

$$1.51+\frac{59}{5000}\log_{10}\left(0.0000000000000000000000000000000000000001\right)$$

The base 10 logarithm of 0.0000000000000000000000000000000000000001 is -40.

$$1.51+\frac{59}{5000}\left(-40\right)$$

Multiply \frac{59}{5000} and -40 to get -\frac{59}{125}.

$$1.51-\frac{59}{125}$$

Subtract \frac{59}{125} from 1.51 to get \frac{519}{500}.

$$\frac{519}{500}$$

Factor

$$\frac{3 \cdot 173}{2 ^ {2} \cdot 5 ^ {3}} = 1\frac{19}{500} = 1.038$$