Question
Four to the eighth power times what equals one
Answers
GPT-4o mini
To find the value that, when multiplied by \(4^8\), equals 1, you can set up the equation:
\[
4^8 \times x = 1
\]
To solve for \(x\), you can isolate \(x\) by dividing both sides by \(4^8\):
\[
x = \frac{1}{4^8}
\]
Now, rewrite \(4^8\) as \( (2^2)^8 = 2^{16} \):
\[
x = \frac{1}{2^{16}}
\]
Thus, the value of \(x\) is:
\[
x = 2^{-16}
\]
Therefore, the answer is:
\[
2^{-16}
\]
\[
4^8 \times x = 1
\]
To solve for \(x\), you can isolate \(x\) by dividing both sides by \(4^8\):
\[
x = \frac{1}{4^8}
\]
Now, rewrite \(4^8\) as \( (2^2)^8 = 2^{16} \):
\[
x = \frac{1}{2^{16}}
\]
Thus, the value of \(x\) is:
\[
x = 2^{-16}
\]
Therefore, the answer is:
\[
2^{-16}
\]