Daniels Parsons
04/21/2024 · Primary School
19) \( \frac{5 n^{8}}{20 n^{8}} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( \frac{5 n^{8}}{20 n^{8}} \), we can start by simplifying the coefficients and the variable parts separately.
1. **Simplify the coefficients**:
\[
\frac{5}{20} = \frac{1}{4}
\]
2. **Simplify the variable parts**:
Since both the numerator and the denominator have \( n^8 \), we can cancel them out:
\[
\frac{n^8}{n^8} = 1
\]
Putting it all together, we have:
\[
\frac{5 n^{8}}{20 n^{8}} = \frac{1}{4} \cdot 1 = \frac{1}{4}
\]
Thus, the simplified expression is:
\[
\frac{1}{4}
\]
Quick Answer
The simplified expression is \( \frac{1}{4} \).
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