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Question
ollowing expressions.
$(x^{12})^{\frac{7}{2}}$
Step1: Apply exponent power rule
Recall the rule: $(a^m)^n = a^{m \times n}$. For $(x^{12})^{\frac{7}{2}}$, multiply the exponents.
$12 \times \frac{7}{2}$
Step2: Calculate the product of exponents
Simplify the multiplication: $\frac{12 \times 7}{2} = 6 \times 7 = 42$
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$x^{42}$