Answer:
D. 6^3
Step-by-step explanation:
Let's expand the fraction so u get a better idea:
[tex]\frac{6^7}{6^4} = \frac{(6)(6)(6)(6)(6)(6)(6)}{(6)(6)(6)(6)}[/tex]
There's 7 six's being divided by 4 six's, just like if u had 100/10, u simply just cross out the zeros n which 100/10 = 10. Same case here, cross out all the 6's u can so there's no more in the denominator.
[tex]\frac{(6)(6)(6)(6)(6)(6)(6)}{(6)(6)(6)(6)} =[/tex] 6^3
or a more simple way is to remember is if it has the same base number, then u can simply have the exponents subtract, in this case 6^7/6^4 = 6^7-4 = 6^3
However if it was something like this 6^4/6^7 = 6^-3 remember to make it a fraction because an exponent can't be a negative number so 6^-3 = 1/6^3. Bascally is u ever have a negative exponent, flip it. Ex: [tex]6^{-3} = \frac{1}{6^3}[/tex] and the other way too, [tex]\frac{1}{6^{-2} } = 6^{2}[/tex]
