Select all terms that are equivalent to 4^3 / 4^5
-4^2
4^2
4^-2
1/4^2
1/16
4^3 / 4^5 = 1/4^2 = 1/16
To find the equivalent terms to 4^3 / 4^5, we can use the quotient rule of exponents, which states that when dividing two exponents with the same base, you subtract the exponents:
4^3 / 4^5 = 4^(3-5) = 4^-2
So the terms that are equivalent to 4^3 / 4^5 are:
4^-2
Therefore, the correct answer is 4^-2.
To find all terms equivalent to `4^3 / 4^5`, let's simplify the expression and compare it to the given options.
First, let's simplify `4^3` and `4^5`.
`4^3` means 4 raised to the power of 3, which equals 4 * 4 * 4 = 64.
`4^5` means 4 raised to the power of 5, which equals 4 * 4 * 4 * 4 * 4 = 1024.
Now, let's substitute these values back into the original expression:
`4^3 / 4^5 = 64 / 1024 = 1/16`
So, `4^3 / 4^5` is equivalent to `1/16`.
Let's compare this result to the given options:
-4^2: This is not equivalent to `1/16`.
4^2: This is not equivalent to `1/16`.
4^-2: This is equivalent to `1/4^2`, which is equal to `1/16`. So, this option is equivalent to `1/16`.
1/4^2: This is equivalent to `1/16`. So, this option is equivalent to `1/16`.
1/16: This is equivalent to `1/16`. So, this option is equivalent to `1/16`.
Therefore, the terms that are equivalent to `4^3 / 4^5` are `4^-2`, `1/4^2`, and `1/16`.