Your question translates to computing
.
Recall Euler's theorem: if
(that is,
and
are relatively prime), then
, where
denotes Euler's totient function, which counts the number of positive integers relatively prime to
.
Since 13 is prime, we have
. Then by Euler's theorem,

Now, observe that 2020 = 168×12 + 4, so that

and since 3⁴ = 81 = 6×13 + 3, we end up with

so the remainder upon dividing 3²⁰²⁰ by 13 is 3.
Answer:
The inequality is, -18/7 less than x less than 18/7
Step-by-step explanation:
Whatever the exponent is on ten is the amount of spaces the decimal moves.
8. 91.2
9. 6200
10. 6250
11. 8240
12. 304.32
13. 51.234
Answer:
i believe C but i might be wrong
Step-by-step explanation:
EDITED: Answer: Phillip can order 12 different ways of ice cream.
Step-by-step explanation:
Ahem.
He can only have Vanilla or Chocolate. So let's pet them in a separate Row.
<u>Vanilla </u>
- With Sprinkles
- With Almonds
- With Hot Fudge
- With Sprinkles and Almonds
- With Sprinkles and Hot Fudge
- With Almonds and Hot Fudge
<u>Chocolate</u>
1.With Sprinkles
2.With Almonds
3.With Hot Fudge
4.With Sprinkles and Almonds
5.With Sprinkles and Hot Fudge
6.With Almonds and Hot Fudge