Solve (y^4)^(2)(y-4)^(2)

Evaluate

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

Multiply the exponents

y^{4 \times 2} (y - 4)^{2}

Multiply the numbers

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

Expand the expression

More Steps

y^{8} (y^{2} - 8 y + 16)

Apply the distributive property

y^{8} \times y^{2} - y^{8} \times 8 y + y^{8} \times 16

Multiply the terms

More Steps

y^{10} - y^{8} \times 8 y + y^{8} \times 16

Multiply the terms

More Steps

y^{10} - 8 y^{9} + y^{8} \times 16

Solution

y^{10} - 8 y^{9} + 16 y^{8}

Simplify the expression