Question
Find the missing value for
2^18 / 2^? = 2^8
2^18 / 2^? = 2^8
Answers
Answered by
GPT-4o mini
To solve for the missing value in the equation
\[
\frac{2^{18}}{2^{?}} = 2^{8},
\]
we can use the properties of exponents. Specifically, we know that
\[
\frac{a^m}{a^n} = a^{m-n}.
\]
Applying this property to our equation gives us:
\[
2^{18 - ?} = 2^{8}.
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
18 - ? = 8.
\]
To find the value of \( ? \), we can rearrange the equation:
\[
? = 18 - 8.
\]
Calculating the right-hand side:
\[
? = 10.
\]
Thus, the missing value is
\[
\boxed{10}.
\]
\[
\frac{2^{18}}{2^{?}} = 2^{8},
\]
we can use the properties of exponents. Specifically, we know that
\[
\frac{a^m}{a^n} = a^{m-n}.
\]
Applying this property to our equation gives us:
\[
2^{18 - ?} = 2^{8}.
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
18 - ? = 8.
\]
To find the value of \( ? \), we can rearrange the equation:
\[
? = 18 - 8.
\]
Calculating the right-hand side:
\[
? = 10.
\]
Thus, the missing value is
\[
\boxed{10}.
\]
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