Solve 10^{5}+(2*10^-4*10^6)/(4*10^-2)+1,5*10^4

$$10 ^ { 5 } + \frac { ( 2 \cdot 10 ^ { - 4 } \cdot 10 ^ { 6 } ) } { ( 4 \cdot 10 ^ { - 2 } ) } + 1,5 \cdot 10 ^ { 4 }$$

Evaluate

$$120000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and 6 to get 2.

$$10^{5}+\frac{2\times 10^{2}}{4\times 10^{-2}}+1,5\times 10^{4}$$

Calculate 10 to the power of 5 and get 100000.

$$100000+\frac{2\times 10^{2}}{4\times 10^{-2}}+1,5\times 10^{4}$$

Cancel out 2 in both numerator and denominator.

$$100000+\frac{10^{2}}{2\times 10^{-2}}+1,5\times 10^{4}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$100000+\frac{10^{4}}{2}+1,5\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$100000+\frac{10000}{2}+1,5\times 10^{4}$$

Divide 10000 by 2 to get 5000.

$$100000+5000+1,5\times 10^{4}$$

Add 100000 and 5000 to get 105000.

$$105000+1,5\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$105000+1,5\times 10000$$

Multiply 1,5 and 10000 to get 15000.

$$105000+15000$$

Add 105000 and 15000 to get 120000.

$$120000$$

Factor

$$3\times 2^{6}\times 5^{4}$$