what makes the statement true 8^ -4
1.64
2. 18
3. -1/64****
4. 1/64
8^-4 = 1 / 8^4 = 1/ (8*8*8*8)
which is none of your choices
However
8^-2 = 1/8^2 = 1/64
positive, not negative
oh ok, thanks that was my 1st choice
but 8^-4 is a typo I hope.
i don't really know i searched the answer up before in google to check my answer and that's how they write or questions that r similar
well, it is 8^2 = 64
so
8^-2 = 1/64
well, it is 8^2 = 64
so
8^-2 = 1/64
8^-4 = 1/ 4096
To determine which option makes the statement true for 8^ -4, we need to apply the exponentiation rule.
The exponentiation rule states that when a number is raised to a negative exponent, it is equivalent to the reciprocal of the number raised to the positive exponent. This can be expressed as:
a^(-n) = 1 / (a^n)
In the given statement, we have 8^ -4. Applying the exponentiation rule, we can rewrite this expression as:
8^ -4 = 1 / (8^4)
Now, let's simplify 8^4.
8^4 equals 8 * 8 * 8 * 8, which is equal to 4096.
Substituting this value back into the expression gives us:
1 / 4096
Therefore, the correct option that makes the statement true is 1/4096. However, none of the given answer choices match this result. It seems there might be an error in the options provided.