Electra Electra
  • 09-02-2025
  • Mathematics
College

[tex]x^2 \times x^3 =[/tex]

A. [tex]x^6[/tex]
B. [tex]x^5[/tex]
C. [tex]2x^6[/tex]
D. [tex]2x^5[/tex]

Answer :

GinnyAnswer GinnyAnswer
  • 30-12-2024
To simplify the expression
[tex]$$x^2 \times x^3,$$[/tex]
we use the rule for multiplying powers with the same base:

[tex]$$x^a \times x^b = x^{a+b}.$$[/tex]

Here, the exponents are 2 and 3. Adding the exponents gives:

[tex]$$2 + 3 = 5.$$[/tex]

Thus, the expression simplifies to:

[tex]$$x^5.$$[/tex]

So, the correct answer is option b) [tex]\(x^5\)[/tex].
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