To find the value of [tex]\( x^6 + y^2 \)[/tex] when [tex]\( x = 1 \)[/tex] and [tex]\( y = 9 \)[/tex], we can follow these steps:
1. Calculate [tex]\( x^6 \)[/tex]:
- Given [tex]\( x = 1 \)[/tex], we need to compute [tex]\( x^6 \)[/tex].
- [tex]\( 1^6 = 1 \)[/tex].
2. Calculate [tex]\( y^2 \)[/tex]:
- Given [tex]\( y = 9 \)[/tex], we need to compute [tex]\( y^2 \)[/tex].
- [tex]\( 9^2 = 81 \)[/tex].
3. Find the sum [tex]\( x^6 + y^2 \)[/tex]:
- [tex]\( x^6 = 1 \)[/tex]
- [tex]\( y^2 = 81 \)[/tex]
- Add the two values together: [tex]\( 1 + 81 = 82 \)[/tex].
So, the value of [tex]\( x^6 + y^2 \)[/tex] is [tex]\( 82 \)[/tex].
