Question
Evaluate \( 4+(m-n)^{4} \) when \( m=7 \) and \( n=5 \). The value of the expression is \( \square \)
Ask by Brooks Lambert.
Jan 19,2025 23:27
UpStudy AI Solution
Tutor-Verified Answer
Answer
The value of the expression is 20.
Solution
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To evaluate the expression \( 4 + (m - n)^{4} \) when \( m = 7 \) and \( n = 5 \), we first calculate \( m - n \):
\[
m - n = 7 - 5 = 2
\]
Now we substitute this back into the expression:
\[
4 + (m - n)^{4} = 4 + (2)^{4}
\]
Next, we calculate \( (2)^{4} \):
\[
(2)^{4} = 16
\]
Now, we add this to 4:
\[
4 + 16 = 20
\]
Thus, the value of the expression is \( \boxed{20} \).
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