Evaluate (23^20-53^19)/((-9)^9)

$\frac{2 \cdot 3^{20} - 5 \cdot 3^{19}}{{(- 9)}^{9}}$

Step 1

Simplify the numerator.

Raise $3$ to the power of $20$ .

$\frac{2 \cdot 3486784401 - 5 \cdot 3^{19}}{{(- 9)}^{9}}$

Multiply $2$ by $3486784401$ .

$\frac{6973568802 - 5 \cdot 3^{19}}{{(- 9)}^{9}}$

Raise $3$ to the power of $19$ .

$\frac{6973568802 - 5 \cdot 1162261467}{{(- 9)}^{9}}$

Multiply $- 5$ by $1162261467$ .

$\frac{6973568802 - 5811307335}{{(- 9)}^{9}}$

Subtract $5811307335$ from $6973568802$ .

$\frac{1162261467}{{(- 9)}^{9}}$

Step 2

Simplify the expression.

Raise $- 9$ to the power of $9$ .

$\frac{1162261467}{- 387420489}$

Divide $1162261467$ by $- 387420489$ .

$- 3$

Evaluate (2*3^20-5*3^19)/((-9)^9)