I assume you're trying to simplify these.
For all of these, divide the coefficients separately from the x's and that separately from the y's.
#5:
![(16t^4)/(8t)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/b2z2y1746zdcxd3rcw51gi1gnh5rcre7if.png)
Start with 16/8 = 2.
Then move to
.
![(t^4)/(t) = (t \cdot t \cdot t \cdot t)/(t)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/jik1z3p7lqeevmpxjcc40z80gs4hml0gz1.png)
So, you'll cancel out one t from the top with the one t in the bottom and be left with
.
Putting that all together:
![(16t^4)/(8t) = 2t^3](https://img.qammunity.org/2022/formulas/mathematics/middle-school/52ecyeewmwu0pszcm4vrflvi2n47i1ru49.png)
#6:
![(x^6y^(14))/(x^4y^9)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/8rntg9bsrqkeoubepmaril04ycgqxefrqw.png)
You have 6 x's in the top and 4 x's in the bottom. When you cancel out 4 from the top to cancel the 4 in the bottom, you'll be left with 2 x's in the top:
![(x^6)/(x^4)=x^2](https://img.qammunity.org/2022/formulas/mathematics/middle-school/c2pl94dfonsbapmxd1p602zqxihjhqg6pt.png)
Similarly, 14 y's up top and 9 in the bottom. When you cancel one-for-one, you'll be left with 5 y's up top:
![(y^(14))/(y^9)=y^5](https://img.qammunity.org/2022/formulas/mathematics/middle-school/tleoqz6fnnqehjk9r5pc96x568ub48do03.png)
Putting that all together:
![(x^6y^(14))/(x^4y^9)=x^2y^5](https://img.qammunity.org/2022/formulas/mathematics/middle-school/mvfyiwtc4yanq4uk2edc2l110of0wwdwgj.png)
#7:
![(3^4x^4)/(3x^2)](https://img.qammunity.org/2022/formulas/mathematics/middle-school/psshbjxq1toywta3nw99d5o20tuj9623er.png)
This is the same as #6, just with 3's and x's.
You have four 3's up top and one in the bottom. When you cancel, you'll be left with three 3's up top:
![(3^4)/(3)=3^3](https://img.qammunity.org/2022/formulas/mathematics/middle-school/fue350t174q7bpxdykye0litpev2acs4cx.png)
You have 4 x's up top and 2 x's down below. That will leave 2 x's up top once you cancel them out:
![(x^4)/(x^2)=x^2](https://img.qammunity.org/2022/formulas/mathematics/middle-school/namxxnwdz8m0l54htdek6jw31xtsvwxy4b.png)
Putting that together:
![(3^4x^4)/(3x^2)=3^3x^2](https://img.qammunity.org/2022/formulas/mathematics/middle-school/p0kgkk5ld6mhz207o7aquxcayc66zewvrq.png)