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Write the expression [tex]\left(x^4\right)^8[/tex] in simplest form.

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GinnyAnswer
To simplify the expression [tex]\(\left(x^4\right)^8\)[/tex], we can apply the power rule of exponents, which states that [tex]\((x^a)^b = x^{a \cdot b}\)[/tex].

Here, the base [tex]\(x\)[/tex] is raised to the power of 4, and this entire expression is then raised to the power of 8. According to the power rule:

[tex]\[ (x^4)^8 = x^{4 \cdot 8} \][/tex]

Next, we multiply the exponents:

[tex]\[ 4 \cdot 8 = 32 \][/tex]

Thus, the simplest form of [tex]\(\left(x^4\right)^8\)[/tex] is:

[tex]\[ x^{32} \][/tex]

Therefore, the expression [tex]\(\left(x^4\right)^8\)[/tex] in simplest form is [tex]\(x^{32}\)[/tex].
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