Solve 8.99*10^9(6*10^-9(-3*10^-9)/(4)^2)

$$8.99 \times 10 ^ { 9 } ( \frac { 6 \times 10 ^ { - 9 } ( - 3 \times 10 ^ { - 9 } ) } { ( 4 ) ^ { 2 } } )$$

Evaluate

$$-0.00000001011375$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -9 and -9 to get -18.

$$8.99\times 10^{9}\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$8.99\times 1000000000\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Multiply 8.99 and 1000000000 to get 8990000000.

$$8990000000\times \frac{6\times 10^{-18}\left(-3\right)}{4^{2}}$$

Calculate 10 to the power of -18 and get \frac{1}{1000000000000000000}.

$$8990000000\times \frac{6\times \frac{1}{1000000000000000000}\left(-3\right)}{4^{2}}$$

Multiply 6 and \frac{1}{1000000000000000000} to get \frac{3}{500000000000000000}.

$$8990000000\times \frac{\frac{3}{500000000000000000}\left(-3\right)}{4^{2}}$$

Multiply \frac{3}{500000000000000000} and -3 to get -\frac{9}{500000000000000000}.

$$8990000000\times \frac{-\frac{9}{500000000000000000}}{4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$8990000000\times \frac{-\frac{9}{500000000000000000}}{16}$$

Express \frac{-\frac{9}{500000000000000000}}{16} as a single fraction.

$$8990000000\times \frac{-9}{500000000000000000\times 16}$$

Multiply 500000000000000000 and 16 to get 8000000000000000000.

$$8990000000\times \frac{-9}{8000000000000000000}$$

Fraction \frac{-9}{8000000000000000000} can be rewritten as -\frac{9}{8000000000000000000} by extracting the negative sign.

$$8990000000\left(-\frac{9}{8000000000000000000}\right)$$

Multiply 8990000000 and -\frac{9}{8000000000000000000} to get -\frac{8091}{800000000000}.

$$-\frac{8091}{800000000000}$$

Factor

$$-0.00000001011375$$