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Answer :
To simplify the expression
[tex]$$
x^9 \cdot x^8,
$$[/tex]
we use the product rule for exponents. The rule states that when multiplying powers with the same base, we add their exponents. In mathematical form, this is written as:
[tex]$$
x^a \cdot x^b = x^{a+b}.
$$[/tex]
Here, the exponents are [tex]$9$[/tex] and [tex]$8$[/tex]. Applying the rule:
[tex]$$
x^9 \cdot x^8 = x^{9+8} = x^{17}.
$$[/tex]
Thus, the simplified expression is:
[tex]$$
\boxed{x^{17}}.
$$[/tex]
[tex]$$
x^9 \cdot x^8,
$$[/tex]
we use the product rule for exponents. The rule states that when multiplying powers with the same base, we add their exponents. In mathematical form, this is written as:
[tex]$$
x^a \cdot x^b = x^{a+b}.
$$[/tex]
Here, the exponents are [tex]$9$[/tex] and [tex]$8$[/tex]. Applying the rule:
[tex]$$
x^9 \cdot x^8 = x^{9+8} = x^{17}.
$$[/tex]
Thus, the simplified expression is:
[tex]$$
\boxed{x^{17}}.
$$[/tex]
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