p^(2/5)-5^(1/5)+6=0
p= 32 and 243
(1/2)x-1=(2/3)y
(20/9)=(1/3)x+(1/3)y
x=(14/3)
y=2
Please help me solve these before tomorrow? My teacher gave me the answers but I can't figure out how to get to that point.
Simplify the following:
32^(2/5)-5^(1/5)+6
32^(2/5) = (32^2)^(1/5) = (2^10)^(1/5) = 2^2:
2^2-5^(1/5)+6
2^2 = 4:
4-5^(1/5)+6
4-5^(1/5)+6 = 10-5^(1/5):
Answer: | 10 - 5^(1/5)
Simplify the following:
243^(2/5)-5^(1/5)+6
243^(2/5) = (243^2)^(1/5) = (3^10)^(1/5) = 3^2:
3^2-5^(1/5)+6
3^2 = 9:
9-5^(1/5)+6
9-5^(1/5)+6 = 15-5^(1/5):
Answer: | 15 - 5^(1/5)
(1/2)*(14/3)-1=(2/3)*2=4/3=4/3
(1/3)*(14/3)+(1/3)*2=20/9
Simplify the following:
(14/3)/3+2/3
(14/3)/3 = 14/(3×3):
14/(3×3)+2/3
3×3 = 9:
14/9+2/3
Put 14/9+2/3 over the common denominator 9. 14/9+2/3 = 14/9+(3×2)/9:
14/9+(3×2)/9
3×2 = 6:
14/9+6/9
14/9+6/9 = (14+6)/9:
(14+6)/9
Answer: | 20/9