Solve 2^2/7^2div(7^2)^4

$$\frac { 2 ^ { 2 } } { 7 ^ { 2 } } \div ( 7 ^ { 2 } ) ^ { 4 }$$

Evaluate

$$\frac{4}{282475249}\approx 0.000000014$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\frac{\frac{2^{2}}{7^{2}}}{7^{8}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{4}{7^{2}}}{7^{8}}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{\frac{4}{49}}{7^{8}}$$

Calculate 7 to the power of 8 and get 5764801.

$$\frac{\frac{4}{49}}{5764801}$$

Express \frac{\frac{4}{49}}{5764801} as a single fraction.

$$\frac{4}{49\times 5764801}$$

Multiply 49 and 5764801 to get 282475249.

$$\frac{4}{282475249}$$

Factor

$$\frac{2 ^ {2}}{7 ^ {10}} = 1.4160532698565742 \times 10^{-8}$$