Solve frac{(9*10^{4})(8*10^6)(4*10^12)}{(3*10^5)(2*10^9)}=

$$\frac { ( 9 \times 10 ^ { 4 } ) ( 8 \times 10 ^ { 6 } ) ( 4 \times 10 ^ { 12 } ) } { ( 3 \times 10 ^ { 5 } ) ( 2 \times 10 ^ { 9 } ) } =$$

Evaluate

$$4800000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 6 to get 10.

$$\frac{9\times 10^{10}\times 8\times 4\times 10^{12}}{3\times 10^{5}\times 2\times 10^{9}}$$

To multiply powers of the same base, add their exponents. Add 10 and 12 to get 22.

$$\frac{9\times 10^{22}\times 8\times 4}{3\times 10^{5}\times 2\times 10^{9}}$$

To multiply powers of the same base, add their exponents. Add 5 and 9 to get 14.

$$\frac{9\times 10^{22}\times 8\times 4}{3\times 10^{14}\times 2}$$

Cancel out 2\times 3\times 10^{14} in both numerator and denominator.

$$3\times 4\times 4\times 10^{8}$$

Multiply 3 and 4 to get 12.

$$12\times 4\times 10^{8}$$

Multiply 12 and 4 to get 48.

$$48\times 10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$48\times 100000000$$

Multiply 48 and 100000000 to get 4800000000.

$$4800000000$$

Factor

$$2^{12}\times 3\times 5^{8}$$