Solve 9*10^9*1*10*10^36/1*10^-28

$$\frac{ 9 \times { 10 }^{ 9 } \times 1 \times 10 \times { 10 }^{ 36 } }{ 1 \times { 10 }^{ -28 } }$$

Evaluate

$$900000000000000000000000000000000000000000000000000000000000000000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 1 to get 10.

$$\frac{9\times 10^{10}\times 1\times 10^{36}}{1\times 10^{-28}}$$

To multiply powers of the same base, add their exponents. Add 10 and 36 to get 46.

$$\frac{9\times 10^{46}\times 1}{1\times 10^{-28}}$$

Cancel out 1 in both numerator and denominator.

$$\frac{9\times 10^{46}}{10^{-28}}$$

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

$$9\times 10^{74}$$

Calculate 10 to the power of 74 and get 100000000000000000000000000000000000000000000000000000000000000000000000000.

$$9\times 100000000000000000000000000000000000000000000000000000000000000000000000000$$

Multiply 9 and 100000000000000000000000000000000000000000000000000000000000000000000000000 to get 900000000000000000000000000000000000000000000000000000000000000000000000000.

$$900000000000000000000000000000000000000000000000000000000000000000000000000$$

Factor

$$2^{74}\times 3^{2}\times 5^{74}$$