Solve (1*10^9)(2*10^7)(-6*10^-6)/10*10^-2

$$\frac { ( 1 \times 10 ^ { 9 } ) ( 2 \times 10 ^ { 7 } ) ( - 6 \times 10 ^ { - 6 } ) } { 10 \times 10 ^ { - 2 } }$$

Evaluate

$$-1200000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 7 to get 16.

$$\frac{1\times 10^{16}\times 2\left(-6\right)\times 10^{-6}}{10\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 16 and -6 to get 10.

$$\frac{1\times 10^{10}\times 2\left(-6\right)}{10\times 10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.

$$\frac{1\times 10^{10}\times 2\left(-6\right)}{10^{-1}}$$

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

$$-6\times 2\times 10^{11}$$

Multiply -6 and 2 to get -12.

$$-12\times 10^{11}$$

Calculate 10 to the power of 11 and get 100000000000.

$$-12\times 100000000000$$

Multiply -12 and 100000000000 to get -1200000000000.

$$-1200000000000$$

Factor

$$-1200000000000$$