I NEED HELP SOMEONE ASAP

 x⁴y²⁰

Step-by-step explanation: Distribute the exponent ⁴ over the parentheses

(x y⁴)⁴ becomes x⁴y¹⁶  (multiply exponents)

then take the 4th root of y¹⁶  (divide the exponent of the radicand by the index)  ⁴√y¹⁶  becomes y⁴

Then multiply the factors. Add exponents

x⁴y¹⁶ * y⁴  becomes x⁴y²⁰

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~