Answer:
[tex]5^{11}[/tex]
Step-by-step explanation:
Using the rules of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{5^{12} }{5^{2} }[/tex] × [tex]5^{1}[/tex], then
= [tex]5^{(12-2)}[/tex] × [tex]5^{1}[/tex]
= [tex]5^{10}[/tex] × [tex]5^{1}[/tex]
= [tex]5^{(10+1)}[/tex]
= [tex]5^{11}[/tex]
