7) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____

Answer:6Step-by-step explanation:Given: [tex]36^{1/2}[/tex]Here we can  write 36 = 6 * 6 = [tex]6^{2}[/tex] [Using the product rule: [tex]a^{m} *a^{n} = a^{m+n}[/tex][tex]36^{1/2} = (6^{2} )[/tex]^1/2Now we have to use power rule: [tex](a^{m} )^n = a^{mn}[/tex]Applying the above rule, we get= [tex]6^{(2*1/2)}[/tex]= [tex]6^{2/2}[/tex]= 6Therefore, the answer is 6.