Solve frac{10^{2}*10^{3}*10^{4}*10^0*10^5}{(10^7)^2}

$$\frac { 10 ^ { 2 } \times 10 ^ { 3 } \times 10 ^ { 4 } \times 10 ^ { 0 } \times 10 ^ { 5 } } { ( 10 ^ { 7 } ) ^ { 2 } }$$

Evaluate

$$1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\frac{10^{5}\times 10^{4}\times 10^{0}\times 10^{5}}{\left(10^{7}\right)^{2}}$$

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$\frac{10^{9}\times 10^{0}\times 10^{5}}{\left(10^{7}\right)^{2}}$$

To multiply powers of the same base, add their exponents. Add 9 and 0 to get 9.

$$\frac{10^{9}\times 10^{5}}{\left(10^{7}\right)^{2}}$$

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

$$\frac{10^{14}}{\left(10^{7}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 7 and 2 to get 14.

$$\frac{10^{14}}{10^{14}}$$

Divide 10^{14} by 10^{14} to get 1.

$$1$$

Factor

$$1$$