Question

35 POINTS HELP PLEASE! RUNNING OUT OF TIME!

Answer 1

`\large\boxed{9x^8,\ 25x^(12),\ 36x^(16)}`

Explanation:

`Use\\(√(s))^2=s\ for\ s\geq0\\(a^n)^m=a^(nm)\\(ab)^n=a^nb^n\\a^n\cdot a^m=a^(n+m)\\===========================\\6x^2=(\sqrt6)^2x^2=(x\sqrt6)^2\to\boxed{NOT}\\\\9x^8=3^2x^(4\cdot2)=3^2(x^4)^2=(3x^4)^2\to\boxed{YES}\\\\16x^9=4^2x^(8+1)=4^2x^(4\cdot2)\cdot x=4^2(x^4)^2x=(4x^4)^2x\to\boxed{NOT}\\\\25x^(12)=5^2x^(6\cdot2)=5^2(x^6)^2=(5x^6)^2\to\boxed{YES}\\\\36x^(16)=6^2x^(8\cdot2)=6^2(x^8)^2=(6x^8)^2\to\boxed{YES}`

Answer 2

[verb] to allow someone to do; to allow something; to acquiesce on something; to concede something.