Solve frac{10^{3}*2^2*3^2*10^4}{60*10^-6}

$$\frac { 10 ^ { 3 } \times 2 ^ { 2 } \times 3 ^ { 2 } \times 10 ^ { 4 } } { 60 \times 10 ^ { - 6 } }$$

Evaluate

$$6000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$\frac{10^{7}\times 2^{2}\times 3^{2}}{60\times 10^{-6}}$$

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

$$\frac{2^{2}\times 3^{2}\times 10^{13}}{60}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4\times 3^{2}\times 10^{13}}{60}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{4\times 9\times 10^{13}}{60}$$

Multiply 4 and 9 to get 36.

$$\frac{36\times 10^{13}}{60}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{36\times 10000000000000}{60}$$

Multiply 36 and 10000000000000 to get 360000000000000.

$$\frac{360000000000000}{60}$$

Divide 360000000000000 by 60 to get 6000000000000.

$$6000000000000$$

Factor

$$2^{13}\times 3\times 5^{12}$$