Question

Which expression is equivalent to

128x8y329 ? Assume y20 and 220.
2x2z8yºz
4x?yz2x2
8x*yz* /2yz
64x*yz^_2yz

Answer 1

Explanation:

`\sqrt{128 {x}^(8) {y}^(3) {z}^(9) } \\ \\ = \sqrt{64 * 2 {x}^(8) * {y}^(2) * y{z}^(8) * z} \\ \\ = \sqrt{ {(8)}^(2) * 2 * ( {x}^(4))^(2) * {y}^(2) * y *( {z}^(4))^(2) * z} \\ \\ = 8 {x}^(4) y {z}^(4) √(2 * y * z) \\ \\ = 8 {x}^(4) y {z}^(4) √(2 y z)`