Expand the Trigonometric Expression 4y4y4y

$4 y \cdot 4 y \cdot 4 y$

Step 1

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$4 (y \cdot y) \cdot 4 \cdot 4 y$

Multiply $y$ by $y$ .

$4 y^{2} \cdot 4 \cdot 4 y$

Step 2

Multiply $y^{2}$ by $y$ by adding the exponents.

Move $y$ .

$4 (y \cdot y^{2}) \cdot 4 \cdot 4$

Multiply $y$ by $y^{2}$ .

Raise $y$ to the power of $1$ .

$4 (y^{1} y^{2}) \cdot 4 \cdot 4$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$4 y^{1 + 2} \cdot 4 \cdot 4$

Add $1$ and $2$ .

$4 y^{3} \cdot 4 \cdot 4$

Step 3

Multiply $4$ by $4$ .

$16 y^{3} \cdot 4$

Step 4

Multiply $4$ by $16$ .

$64 y^{3}$

Expand the Trigonometric Expression 4y*4y*4y