Write as an Equation f(x)=3( cube root of 8)^(2x)

$f (x) = 3 {(\sqrt[3]{8})}^{2 x}$

Step 1

Rewrite the function as an equation.

$y = 3 {(\sqrt[3]{8})}^{2 x}$

Step 2

Remove parentheses.

$y = 3 {\sqrt[3]{8}}^{2 x}$

Step 3

Simplify $3 {\sqrt[3]{8}}^{2 x}$ .

Rewrite $8$ as $2^{3}$ .

$y = 3 {\sqrt[3]{2^{3}}}^{2 x}$

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

$y = 3 \cdot 2^{2 x}$