Answered

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Simplify the expression below:

[tex]\[ (xy)^8 \][/tex]

A. \(xy^8\)

B. \(x^8 y^8\)

C. \(8xy\)

D. [tex]\(8xy^8\)[/tex]

Sagot :

GinnyAnswer
To simplify the expression \((xy)^8\), let's break it down step by step:

1. Start with the given expression: \((xy)^8\).
2. According to the exponentiation rule \((a \cdot b)^c = a^c \cdot b^c\), we can apply the exponent 8 to both \(x\) and \(y\) individually.
3. Therefore, \((xy)^8\) simplifies to \(x^8 \cdot y^8\).

So, the simplified form of the expression \((xy)^8\) is:
[tex]\[ \boxed{x^8 y^8} \][/tex]

Hence, the correct answer is B. [tex]\(x^8 y^8\)[/tex].
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