Solve 9^4*(9*79)^3/79^2*9^7

$$\frac { 9 ^ { 4 } \cdot ( 9 \cdot 79 ) ^ { 3 } } { 79 ^ { 2 } \cdot 9 ^ { 7 } }$$

Evaluate

$$79$$

Solution Steps

Cancel out 9^{4} in both numerator and denominator.

$$\frac{\left(9\times 79\right)^{3}}{9^{3}\times 79^{2}}$$

Multiply 9 and 79 to get 711.

$$\frac{711^{3}}{9^{3}\times 79^{2}}$$

Calculate 711 to the power of 3 and get 359425431.

$$\frac{359425431}{9^{3}\times 79^{2}}$$

Calculate 9 to the power of 3 and get 729.

$$\frac{359425431}{729\times 79^{2}}$$

Calculate 79 to the power of 2 and get 6241.

$$\frac{359425431}{729\times 6241}$$

Multiply 729 and 6241 to get 4549689.

$$\frac{359425431}{4549689}$$

Divide 359425431 by 4549689 to get 79.

$$79$$

Factor

$$79$$