Answer:
D. 6^3
Explanation:
Let's expand the fraction so u get a better idea:
![(6^7)/(6^4) = ((6)(6)(6)(6)(6)(6)(6))/((6)(6)(6)(6))](https://img.qammunity.org/2021/formulas/mathematics/high-school/wrdge31y19rnsofv6hro0srijtg4fxxokf.png)
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.
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:
and the other way too,
![(1)/(6^(-2) ) = 6^(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/soxbrmv8cpyutsahokyxwjrfg92vrvpupa.png)