Simplify (4y^-2)(8y^4)

$(4 y^{- 2}) (8 y^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$4 \cdot 8 y^{- 2} y^{4}$

Step 2

Multiply $y^{- 2}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$4 \cdot 8 (y^{4} y^{- 2})$

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

$4 \cdot 8 y^{4 - 2}$

Subtract $2$ from $4$ .

$4 \cdot 8 y^{2}$

Step 3

Multiply $4$ by $8$ .

$32 y^{2}$