Question

Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y greater-than-or-equal-to 0 and z greater-than-or-equal-to 1 2 x squared z squared StartRoot 8 y cubed z EndRoot 4 x squared y z cubed StartRoot 2 x squared EndRoot 8 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot 64 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot

Answer 1

c

Explanation:

Answer 2

Option C.

Explanation:

The given expression is

`√(128x^8y^3z^9)`

It can be written as

`\sqrt{(64\cdot 2)\cdot x^8\cdot y^(2+1)\cdot z^(8+1)}`

`=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^(2)\cdot y\cdot (z^(4))^2\cdot z}`

`=√((8x^4yz^4)^2\cdot 2yz)`

`=8x^4yz^4√(2yz)`

Therefore, the correct option is C.