write each expression as a power of 2

2^4 / 4^2
(4^2)^3
(100^0)^5
(5n)^2

1. 16/16=1

2. 16^3=16*16*16=4096
3. 100^0=1, 1^5=1
4. 25n^2
Not sure what you mean about writing these as powers of 2's, but here are the answers.

like i only got the first one when 16/16=1 that is 2^0 that is a power of two can you help me?

To write each expression as a power of 2, we need to simplify the given expressions using basic exponent rules.

1. Simplifying 2^4 / 4^2:
We can evaluate each exponent first:
2^4 = 2 * 2 * 2 * 2 = 16
4^2 = 4 * 4 = 16

Now, we can rewrite the expression:
2^4 / 4^2 = 16 / 16 = 1

Therefore, 2^4 / 4^2 can be expressed as 2^0.

2. Simplifying (4^2)^3:
To simplify, we need to multiply the exponents:
(4^2)^3 = 4^(2 * 3) = 4^6

Therefore, (4^2)^3 can be expressed as 4^6.

3. Simplifying (100^0)^5:
Any number raised to the power of 0 is equal to 1. Therefore:
(100^0)^5 = 1^5 = 1

Therefore, (100^0)^5 can be expressed as 2^0.

4. Simplifying (5n)^2:
To simplify, we need to square the expression inside the parentheses:
(5n)^2 = 5^2 * n^2 = 25 * n^2

Therefore, (5n)^2 can be expressed as 2^25n^2.