Algebra Examples

$f (x) = - \sqrt{81 {(2 v + 1)}^{20}}$

Step 1

Write $f (x) = - \sqrt{81 {(2 v + 1)}^{20}}$ as an equation.

$y = - \sqrt{81 {(2 v + 1)}^{20}}$

Step 2

Simplify $- \sqrt{81 {(2 v + 1)}^{20}}$ .

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Step 2.1

Rewrite $81 {(2 v + 1)}^{20}$ as ${(9 {(2 v + 1)}^{10})}^{2}$ .

$y = - \sqrt{{(9 {(2 v + 1)}^{10})}^{2}}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$y = - (9 {(2 v + 1)}^{10})$

Step 2.3

Multiply $9$ by $- 1$ .

$y = - 9 {(2 v + 1)}^{10}$