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Answer :
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].
[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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