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36 votes
36 votes
Evaluate the expression \dfrac{4^x}{2^x}

2
x

4
x


start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.

User Manuell
by
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1 Answer

20 votes
20 votes

Final answer:

To evaluate the expression \(\frac{4^x}{2^x}\) for \(x=3\), substitute the value of \(x\) into the expression and simplify the numerator and denominator.

Step-by-step explanation:

To evaluate the expression \(\frac{4^x}{2^x}\) for \(x=3\), we substitute the value of \(x\) into the expression:

\(\frac{4^3}{2^3}\)

Now, we can simplify the numerator and denominator: \(4^3=64\) and \(2^3=8\).

So, \(\frac{4^3}{2^3}=\frac{64}{8}=8\).

User Maxim Grach
by
2.8k points