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Question
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simplify the expression \\(x^5 \cdot x^2\\).
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:
$$
x^{12}
$$
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Simplify the expression \(x^5 \cdot x^7\).
<blank>\(x^{12}\)</blank>