How do you multiply ${(2 x^{4} y^{2})}^{4} {(2 x^{4} y)}^{2}$ $(2x ^ { 4} y ^ { 2} ) ^ { 4} ( 2x ^ { 4} y ) ^ { 2}$ ?

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Answer 1 · 2017-07-22T01:51:42

Use the order of operations to figure out the answer for the expression; since it is mostly multiplying and adding.

${(2 x^{4} y^{2})}^{4} {(2 x^{4} y)}^{2}$ $(2x^4y^2)^4(2x^4y)^2$

Multiply the exponents to the variables within the parentheses.

$= (16 x^{16} y^{8}) \cdot (4 x^{8} y^{2})$ $=(16x^16y^8)*(4x^8y^2)$

Since it is multiplying the two terms just add the exponents to each other.

$= 64 x^{24} y^{10}$ $=64x^24y^10$

How do you multiply (2x ^ { 4} y ^ { 2} ) ^ { 4} ( 2x ^ { 4} y ) ^ { 2}(2x4y2)4(2x4y)2(2x ^ { 4} y ^ { 2} ) ^ { 4} ( 2x ^ { 4} y ) ^ { 2}?