High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ $x^3(x^3) = $

(A) $x^9$
(B) $2x^9$
(C) $2x^6$
(D) $x^6$

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:

  1. Identify the base and the exponents in the expression. Here, the base is [tex]x[/tex], and both exponents are 3.

  2. 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.

  3. Plug in the numbers from the expression: [tex]x^3 \times x^3 = x^{3+3}[/tex].

  4. 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].

Other Questions