Solve 3(10^1^4)-2(10^1)+4(10^-1)

$$3( { 10 }^{ { 1 }^{ 4 } } )-2( { 10 }^{ 1 } )+4( { 10 }^{ -1 } )$$

Evaluate

$$\frac{52}{5}=10.4$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$3\times 10^{1}-2\times 10^{1}+4\times 10^{-1}$$

Calculate 10 to the power of 1 and get 10.

$$3\times 10-2\times 10^{1}+4\times 10^{-1}$$

Multiply 3 and 10 to get 30.

$$30-2\times 10^{1}+4\times 10^{-1}$$

Calculate 10 to the power of 1 and get 10.

$$30-2\times 10+4\times 10^{-1}$$

Multiply 2 and 10 to get 20.

$$30-20+4\times 10^{-1}$$

Subtract 20 from 30 to get 10.

$$10+4\times 10^{-1}$$

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$10+4\times \frac{1}{10}$$

Multiply 4 and \frac{1}{10} to get \frac{2}{5}.

$$10+\frac{2}{5}$$

Add 10 and \frac{2}{5} to get \frac{52}{5}.

$$\frac{52}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{5} = 10\frac{2}{5} = 10.4$$