Yes, \(1^5\) is indeed correct. Here’s a step-by-step explanation of why:

1. When you multiply two fractions that are reciprocals of each other, such as \(\frac{3}{8}\) and \(\frac{8}{3}\), the product is 1 because the numerator and denominator of each fraction cancel each other out:

\[
\frac{3}{8} \times \frac{8}{3} = \frac{3 \times 8}{8 \times 3} = \frac{24}{24} = 1
\]

2. When you raise a number to an exponent, you are multiplying the number by itself as many times as the exponent indicates. So, \(1^5\) means:

\[
1 \times 1 \times 1 \times 1 \times 1 = 1
\]

Therefore, raising 1 to any power will always result in 1. Hence,

\[
1^5 = 1
\]

Would you like any further details or have any questions?

Here are five more math questions you might want to explore:
1. How do you solve quadratic equations?
2. What is the derivative of \(x^3 + 3x^2 + 2x + 1\)?
3. How do you find the area under a curve using integration?
4. What is the value of \(\log_2(32)\)?
5. How do you simplify the expression \(\frac{a^2 - b^2}{a - b}\)?

**Tip:** Always remember that any number raised to the power of zero is 1, and any number raised to the power of one is the number itself.

Discover why 1 raised to the power of 5 (1^5) equals 1 with a detailed explanation. Explore the concept of exponents and multiplication of fractions in mathematics. Suitable for students in Grades 6-8.

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