Solve =9*10^9*-4,2*10^-7*3*10^-7/(0,2)^2

$$= 9 \cdot 10 ^ { 9 } \cdot \frac { - 4,2 \cdot 10 ^ { - 7 } \cdot 3 \cdot 10 ^ { - 7 } } { ( 0,2 ) ^ { 2 } }$$

Evaluate

$$-0.02835$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -7 and -7 to get -14.

$$9\times 10^{9}\times \frac{-4.2\times 10^{-14}\times 3}{0.2^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{-4.2\times 10^{-14}\times 3}{0.2^{2}}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{-4.2\times 10^{-14}\times 3}{0.2^{2}}$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$9000000000\times \frac{-4.2\times \frac{1}{100000000000000}\times 3}{0.2^{2}}$$

Multiply -4.2 and \frac{1}{100000000000000} to get -\frac{21}{500000000000000}.

$$9000000000\times \frac{-\frac{21}{500000000000000}\times 3}{0.2^{2}}$$

Multiply -\frac{21}{500000000000000} and 3 to get -\frac{63}{500000000000000}.

$$9000000000\times \frac{-\frac{63}{500000000000000}}{0.2^{2}}$$

Calculate 0.2 to the power of 2 and get 0.04.

$$9000000000\times \frac{-\frac{63}{500000000000000}}{0.04}$$

Express \frac{-\frac{63}{500000000000000}}{0.04} as a single fraction.

$$9000000000\times \frac{-63}{500000000000000\times 0.04}$$

Multiply 500000000000000 and 0.04 to get 20000000000000.

$$9000000000\times \frac{-63}{20000000000000}$$

Fraction \frac{-63}{20000000000000} can be rewritten as -\frac{63}{20000000000000} by extracting the negative sign.

$$9000000000\left(-\frac{63}{20000000000000}\right)$$

Multiply 9000000000 and -\frac{63}{20000000000000} to get -\frac{567}{20000}.

$$-\frac{567}{20000}$$

Factor

$$-0.02835$$