Solve (9.35*10^6)*(1.5*10^-8)/3.4*10^-6

$$\frac { ( 9.35 \times 10 ^ { 6 } ) \times ( 1.5 \times 10 ^ { - 8 } ) } { 3.4 \times 10 ^ { - 6 } }$$

Evaluate

$$41250$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and -8 to get -2.

$$\frac{9.35\times 10^{-2}\times 1.5}{3.4\times 10^{-6}}$$

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

$$\frac{1.5\times 9.35\times 10^{4}}{3.4}$$

Multiply 1.5 and 9.35 to get 14.025.

$$\frac{14.025\times 10^{4}}{3.4}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{14.025\times 10000}{3.4}$$

Multiply 14.025 and 10000 to get 140250.

$$\frac{140250}{3.4}$$

Expand \frac{140250}{3.4} by multiplying both numerator and the denominator by 10.

$$\frac{1402500}{34}$$

Divide 1402500 by 34 to get 41250.

$$41250$$

Factor

$$2\times 3\times 11\times 5^{4}$$