Solve 0*10^-2+1/2*2*10^5*(10^-2)^2

$$0 \times 10 ^ { - 2 } + \frac { 1 } { 2 } \times 2 \times 10 ^ { 5 } \times ( 10 ^ { - 2 } ) ^ { 2 }$$

Evaluate

$$10$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -2 and 2 to get -4.

$$0\times 10^{-2}+\frac{1}{2}\times 2\times 10^{5}\times 10^{-4}$$

To multiply powers of the same base, add their exponents. Add 5 and -4 to get 1.

$$0\times 10^{-2}+\frac{1}{2}\times 2\times 10^{1}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$0\times \frac{1}{100}+\frac{1}{2}\times 2\times 10^{1}$$

Multiply 0 and \frac{1}{100} to get 0.

$$0+\frac{1}{2}\times 2\times 10^{1}$$

Multiply \frac{1}{2} and 2 to get 1.

$$0+10^{1}$$

Calculate 10 to the power of 1 and get 10.

$$0+10$$

Add 0 and 10 to get 10.

$$10$$

Factor

$$2\times 5$$