Solve (9*10^9)*(2*10^-6)*(5*10^-6)/(3*10^-2)

$$\frac{ (9 \times { 10 }^{ 9 } ) \times (2 \times { 10 }^{ -6 } ) \times (5 \times { 10 }^{ -6 } ) }{ (3 \times { 10 }^{ -2 } ) }$$

Evaluate

$$3$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{3}\times 2\times 5\times 10^{-6}}{3\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 3 and -6 to get -3.

$$\frac{9\times 10^{-3}\times 2\times 5}{3\times 10^{-2}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\times 3\times 5\times 10^{-3}}{10^{-2}}$$

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

$$\frac{2\times 3\times 5}{10^{1}}$$

Multiply 2 and 3 to get 6.

$$\frac{6\times 5}{10^{1}}$$

Multiply 6 and 5 to get 30.

$$\frac{30}{10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{30}{10}$$

Divide 30 by 10 to get 3.

$$3$$

Factor

$$3$$