Answer:
[tex]5^{13}[/tex]
Step-by-step explanation:
Question:
Use the product rule to simplify the expression:
[tex] 5^{10} \times 5^3 [/tex]
○ [tex]25^{13}[/tex]
○ [tex]5^{13}[/tex]
○ [tex]5^{30}[/tex]
○ [tex]5^{7}[/tex]
Answer:
To simplify the expression [tex]5^{10} \times 5^3[/tex], we can use the product rule for exponents, which states that:
[tex]\large\boxed{\boxed{\sf a^m \times a^n = a^{m+n}}}[/tex]
for any non-zero number [tex]a[/tex] and integers [tex]m[/tex] and [tex]n[/tex].
In this case:
[tex] 5^{10} \times 5^3 = 5^{10+3} \\\\= 5^{13} [/tex]
Therefore, the simplified expression is [tex]5^{13}[/tex].
So, the correct answer is:
[tex] \large\boxed{\boxed{5^{13}}} [/tex]
