Evaluate frac(sup(4,2),sup(2,4))

2

32

4

1

To evaluate \(\frac{4^2}{2^4}\), we need to calculate each power separately and then divide the results.

1. Calculate \(4^2\):
\[ 4^2 = 4 \times 4 = 16 \]

2. Calculate \(2^4\):
\[ 2^4 = 2 \times 2 \times 2 \times 2 = 16 \]

3. Divide the results:
\[ \frac{4^2}{2^4} = \frac{16}{16} = 1 \]

Therefore, the value of \(\frac{4^2}{2^4}\) is \(1\).

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Here are 8 related questions for further exploration:

1. What is the value of \(\frac{4^3}{2^6}\)?
2. Simplify \(\frac{2^8}{4^2}\).
3. Evaluate \(\frac{3^4}{9^2}\).
4. What is the value of \(5^3 \div 5^2\)?
5. Simplify \(\frac{2^5 \cdot 4^2}{8^3}\).
6. Evaluate \(\frac{7^2}{1^3}\).
7. What is the value of \(\frac{10^2}{2^2}\)?
8. Simplify \(\frac{6^3}{3^3}\).

**Tip:** When simplifying expressions with exponents, remember that \(a^m \div a^n = a^{m-n}\).

Learn how to evaluate the expression 4 squared divided by 2 to the power of 4 step-by-step with detailed explanations. This problem involves exponents and their division, suitable for Grades 7-9 mathematics students.

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