1) 3^5/9=3^5/3^2=3^5-2=3^3=27
2)3^4/3^27=3^4/3^3=3^4-3=3^1=3
3)243/81=3^5/3^4=3^5-4=3^1=3
MN=NF=OP=5√3
FO=√(FP²-OP²)=√(100-75)=√25=5
MP=NO=NF+NO=5+5√3=5(√3+1)
(x²)^24
(x⁴)^12
(x^12)⁴
(x^24)²
#2
(2³*2)^k=2^16
(2⁴)⁴=2^16
(3^k*3²)²=3^18
(3^2k*3⁴=3^18
3^14*3⁴=3^18
(7²*7³)^5=7^k
(7^5)^5=7^k
7^25=7^25
(5^k*5^k-1)²=5^10
5^2k*5^2k-2=5^10
5^4k-2=5^10
5^4*3-2=5^10
5^10=5^10
Y-100y^3=y(1-100y^2)=y(1-10y)(1+10y)