Finite Math Examples

$- 7 \sqrt{128 (1) x^{11} (1) y^{14}}$

Step 1

Multiply $128$ by $1$ .

$- 7 \sqrt{128 x^{11} \cdot 1 y^{14}}$

Step 2

Multiply $128$ by $1$ .

$- 7 \sqrt{128 x^{11} y^{14}}$

Step 3

Rewrite $128 x^{11} y^{14}$ as ${(8 x^{5} y^{7})}^{2} \cdot (2 x)$ .

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Step 3.1

Factor $64$ out of $128$ .

$- 7 \sqrt{64 (2) x^{11} y^{14}}$

Step 3.2

Rewrite $64$ as $8^{2}$ .

$- 7 \sqrt{8^{2} \cdot 2 x^{11} y^{14}}$

Step 3.3

Factor out $x^{10}$ .

$- 7 \sqrt{8^{2} \cdot 2 (x^{10} x) y^{14}}$

Step 3.4

Rewrite $x^{10}$ as ${(x^{5})}^{2}$ .

$- 7 \sqrt{8^{2} \cdot 2 ({(x^{5})}^{2} x) y^{14}}$

Step 3.5

Rewrite $y^{14}$ as ${(y^{7})}^{2}$ .

$- 7 \sqrt{8^{2} \cdot 2 ({(x^{5})}^{2} x) {(y^{7})}^{2}}$

Step 3.6

Move $x$ .

$- 7 \sqrt{8^{2} \cdot 2 ({(x^{5})}^{2}) {(y^{7})}^{2} x}$

Step 3.7

Move $2$ .

$- 7 \sqrt{8^{2} ({(x^{5})}^{2}) {(y^{7})}^{2} \cdot 2 x}$

Step 3.8

Rewrite $(8^{2} ({(x^{5})}^{2})) {(y^{7})}^{2}$ as ${(8 x^{5} y^{7})}^{2}$ .

$- 7 \sqrt{{(8 x^{5} y^{7})}^{2} \cdot 2 x}$

Step 3.9

Add parentheses.

$- 7 \sqrt{{(8 x^{5} y^{7})}^{2} \cdot (2 x)}$

Step 4

Pull terms out from under the radical.

$- 7 (8 x^{5} y^{7} \sqrt{2 x})$

Step 5

Multiply $8$ by $- 7$ .

$- 56 x^{5} y^{7} \sqrt{2 x}$