Answer:
64z^2
Step-by-step explanation:
Here's why, it's actually very simple we use exponent rule when raising something to a power. In this case we're raising the term to the second power. So we raise both -8, and z. As so: (-8)^2 x (z)^2
Which equals 64z^2.
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The given expression [tex](-8z)^2[/tex] is simplified as [tex]64z^2[/tex] and this can be simplified by using arithmetic operations.
Given :
Expression - [tex](-8z)^2[/tex]
The following steps can be used to simplify the given expression [tex](-8z)^2[/tex]:
Step 1 - Rewrite the given expression.
[tex]= (-1)^2\times (8)^2\times z^2[/tex]
Step 2 - Square the -1 term, the above expression becomes:
[tex]= (8)^2\times z^2[/tex]
Step 3 - Now, square the term 8, the above expression becomes:
[tex]= 64z^2[/tex]
So, following the above steps, the given expression [tex](-8z)^2[/tex] is simplified as [tex]64z^2[/tex].
For more information, refer to the link given below:
https://brainly.com/question/13911928
