Solve (7*10^{8}*5*10^{6}+.5*10^6*9*10^5+7*10^8*9*10^5)*2

$$( 7 \times 10 ^ { 8 } \times 5 \times 10 ^ { 6 } + .5 \times 10 ^ { 6 } \times 9 \times 10 ^ { 5 } + 7 \times 10 ^ { 8 } \times 9 \times 10 ^ { 5 } ) \times 2$$

Evaluate

$$8260900000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 6 to get 14.

$$\left(7\times 10^{14}\times 5+0.5\times 10^{6}\times 9\times 10^{5}+7\times 10^{8}\times 9\times 10^{5}\right)\times 2$$

To multiply powers of the same base, add their exponents. Add 6 and 5 to get 11.

$$\left(7\times 10^{14}\times 5+0.5\times 10^{11}\times 9+7\times 10^{8}\times 9\times 10^{5}\right)\times 2$$

To multiply powers of the same base, add their exponents. Add 8 and 5 to get 13.

$$\left(7\times 10^{14}\times 5+0.5\times 10^{11}\times 9+7\times 10^{13}\times 9\right)\times 2$$

Calculate 10 to the power of 14 and get 100000000000000.

$$\left(7\times 100000000000000\times 5+0.5\times 10^{11}\times 9+7\times 10^{13}\times 9\right)\times 2$$

Multiply 7 and 100000000000000 to get 700000000000000.

$$\left(700000000000000\times 5+0.5\times 10^{11}\times 9+7\times 10^{13}\times 9\right)\times 2$$

Multiply 700000000000000 and 5 to get 3500000000000000.

$$\left(3500000000000000+0.5\times 10^{11}\times 9+7\times 10^{13}\times 9\right)\times 2$$

Calculate 10 to the power of 11 and get 100000000000.

$$\left(3500000000000000+0.5\times 100000000000\times 9+7\times 10^{13}\times 9\right)\times 2$$

Multiply 0.5 and 100000000000 to get 50000000000.

$$\left(3500000000000000+50000000000\times 9+7\times 10^{13}\times 9\right)\times 2$$

Multiply 50000000000 and 9 to get 450000000000.

$$\left(3500000000000000+450000000000+7\times 10^{13}\times 9\right)\times 2$$

Add 3500000000000000 and 450000000000 to get 3500450000000000.

$$\left(3500450000000000+7\times 10^{13}\times 9\right)\times 2$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\left(3500450000000000+7\times 10000000000000\times 9\right)\times 2$$

Multiply 7 and 10000000000000 to get 70000000000000.

$$\left(3500450000000000+70000000000000\times 9\right)\times 2$$

Multiply 70000000000000 and 9 to get 630000000000000.

$$\left(3500450000000000+630000000000000\right)\times 2$$

Add 3500450000000000 and 630000000000000 to get 4130450000000000.

$$4130450000000000\times 2$$

Multiply 4130450000000000 and 2 to get 8260900000000000.

$$8260900000000000$$

Factor

$$82609\times 2^{11}\times 5^{11}$$