(1 to the power of 99 + 2 to the power of 99 + 3 to the power of 99 + 4 to the power of 99 + 5 to the power of 99) divided by 5

Show that 1⁹⁹ + 2⁹⁹ + 3⁹⁹ + 4⁹⁹ + 5⁹⁹ is divisible by 5.