Answer :
To solve the expression [tex]x^3(x^3)[/tex], we need to understand how to handle exponents in algebra.
The expression involves multiplying [tex]x^3[/tex] by [tex]x^3[/tex]. According to the rules of exponents, when you multiply two powers that have the same base, you add their exponents.
Here's a step-by-step breakdown:
Identify the base and the exponents in the expression. Here, the base is [tex]x[/tex], and both exponents are 3.
Apply the rule: [tex]a^m \times a^n = a^{m+n}[/tex], where [tex]a[/tex] is the base and [tex]m[/tex] and [tex]n[/tex] are the exponents.
Plug in the numbers from the expression: [tex]x^3 \times x^3 = x^{3+3}[/tex].
Simplify the exponents: [tex]x^{3+3} = x^6[/tex].
Therefore, [tex]x^3(x^3) = x^6[/tex]. The correct answer is (D) [tex]x^6[/tex].
