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QUESTION IMAGE

enter the correct answer in the box. simplify the expression \\(x^5 \\c…

Question

enter the correct answer in the box.

simplify the expression \\(x^5 \cdot x^2\\).

Explanation:

Identify the given expression

The expression to simplify is:

$$ x^5 \cdot x^7 $$

Apply the product rule for exponents

Using the product rule for exponents, \(a^m \cdot a^n = a^{m+n}\):

$$ x^5 \cdot x^7 = x^{5+7} $$

Simplify the exponent

Add the exponents:

$$ x^{12} $$

Answer:

Simplify the expression \(x^5 \cdot x^7\).

<blank>\(x^{12}\)</blank>