Basic Math Examples

$\frac{24 {(3 w + 2)}^{3} {(w - 4^{5})}^{5}}{20 (w - 4) {(3 w + 2)}^{4}}$

Step 1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.1

Cancel the common factor of $24$ and $20$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $24 {(3 w + 2)}^{3} {(w - 4^{5})}^{5}$ .

$\frac{4 (6 {(3 w + 2)}^{3} {(w - 4^{5})}^{5})}{20 (w - 4) {(3 w + 2)}^{4}}$

Step 1.1.2

Cancel the common factors.

Tap for more steps...

Step 1.1.2.1

Factor $4$ out of $20 (w - 4) {(3 w + 2)}^{4}$ .

$\frac{4 (6 {(3 w + 2)}^{3} {(w - 4^{5})}^{5})}{4 (5 (w - 4) {(3 w + 2)}^{4})}$

Step 1.1.2.2

Cancel the common factor.

$\frac{4 (6 {(3 w + 2)}^{3} {(w - 4^{5})}^{5})}{4 (5 (w - 4) {(3 w + 2)}^{4})}$

Step 1.1.2.3

Rewrite the expression.

$\frac{6 {(3 w + 2)}^{3} {(w - 4^{5})}^{5}}{5 (w - 4) {(3 w + 2)}^{4}}$

Step 1.2

Cancel the common factor of ${(3 w + 2)}^{3}$ and ${(3 w + 2)}^{4}$ .

Tap for more steps...

Step 1.2.1

Factor ${(3 w + 2)}^{3}$ out of $6 {(3 w + 2)}^{3} {(w - 4^{5})}^{5}$ .

$\frac{{(3 w + 2)}^{3} (6 {(w - 4^{5})}^{5})}{5 (w - 4) {(3 w + 2)}^{4}}$

Step 1.2.2

Cancel the common factors.

Tap for more steps...

Step 1.2.2.1

Factor ${(3 w + 2)}^{3}$ out of $5 (w - 4) {(3 w + 2)}^{4}$ .

$\frac{{(3 w + 2)}^{3} (6 {(w - 4^{5})}^{5})}{{(3 w + 2)}^{3} (5 (w - 4) (3 w + 2))}$

Step 1.2.2.2

Cancel the common factor.

$\frac{{(3 w + 2)}^{3} (6 {(w - 4^{5})}^{5})}{{(3 w + 2)}^{3} (5 (w - 4) (3 w + 2))}$

Step 1.2.2.3

Rewrite the expression.

$\frac{6 {(w - 4^{5})}^{5}}{5 (w - 4) (3 w + 2)}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Raise $4$ to the power of $5$ .

$\frac{6 {(w - 1 \cdot 1024)}^{5}}{5 (w - 4) (3 w + 2)}$

Step 2.2

Multiply $- 1$ by $1024$ .

$\frac{6 {(w - 1024)}^{5}}{5 (w - 4) (3 w + 2)}$