## studygirl18 2 years ago so if it was t^8 (t^10)^0 thats t^8and t^10 I would add 8 and 10 so its t^18? am i right?

1. satellite73

no

2. studygirl18

its t^80

3. satellite73

any number to the power of zero is 1

4. satellite73

$$(t^8)^0=1$$

5. studygirl18

1x10=10 and 10x8= 80?

6. satellite73

you are raising $$t^8$$ to the power of zero, not to the power of one

7. satellite73

$$(t^8)^0=t^{8\times 0}=t^0=1$$

8. studygirl18

thats for the 10 i think

9. satellite73

in general $$b^0=1$$ for any number $$b$$ (unless $$b=0$$ but that is a different story)

10. satellite73

my fault, but same idea

11. satellite73

$$(t^{10})^0=t^0=1$$

12. studygirl18

so its just t^8?

13. satellite73

to you are left with $t^8\times t^0=t^8\times 1=t^8$

14. satellite73

yes, it is $$t^8$$ you are right

15. whpalmer4

Think of it like t^2 = t*t, so t^1 = t*t/t = t and t^0 = t*t/(t*t) = 1

16. studygirl18

thxs you all