Solve 7^4*(7*8)^3/8^2*7^7=

$$\frac { 7 ^ { 4 } \cdot ( 7 \cdot 8 ) ^ { 3 } } { 8 ^ { 2 } \cdot 7 ^ { 7 } } =$$

Evaluate

$$8$$

Solution Steps

Cancel out 7^{4} in both numerator and denominator.

$$\frac{\left(7\times 8\right)^{3}}{7^{3}\times 8^{2}}$$

Multiply 7 and 8 to get 56.

$$\frac{56^{3}}{7^{3}\times 8^{2}}$$

Calculate 56 to the power of 3 and get 175616.

$$\frac{175616}{7^{3}\times 8^{2}}$$

Calculate 7 to the power of 3 and get 343.

$$\frac{175616}{343\times 8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{175616}{343\times 64}$$

Multiply 343 and 64 to get 21952.

$$\frac{175616}{21952}$$

Divide 175616 by 21952 to get 8.

$$8$$

Factor

$$2^{3}$$