Exponent Rules 2

TL;DR

The expression 3^5 squared is much larger than 5^2 + 3^5.

Transcript

We're asked to identify which expression is larger. 5 squared plus 3 to the fifth. Or 3 to the fifth and then that whole thing squared. So let's just work this out. So let's do the first one here, 5 squared plus 3 to the fifth. So what is 5 squared? 5 squared is the same thing as 5 times 5, which is equal to 25. So that right there is 25. And what'... Read More

Key Insights

• 🔁 Exponents, such as 2 and 5, indicate repeated multiplication.
• #️⃣ The value of an exponent can significantly influence the magnitude of a number.
• ⬛ Squaring a number means multiplying it by itself, resulting in a larger value.

Questions & Answers

Q: What is the value of 5 squared plus 3 to the fifth power?

5 squared is 25, and 3 to the fifth power is 243. Adding them together, the value is 268.

Q: What is the value of 3 to the fifth power squared?

3 to the fifth power is 243. Squaring it means multiplying it by itself, resulting in a much larger number.

Q: Which expression is larger: 5 squared plus 3 to the fifth power or 3 to the fifth power squared?

The second expression, 3 to the fifth power squared, is larger because it multiplies the value of 3 to the fifth power by itself.

Q: Can you calculate the exact value of 3 to the fifth power squared?

To find the exact value, we need to multiply 243 by 243. The result is 59,049, which is significantly larger than 268.

Summary & Key Takeaways

• The first expression is 5 squared (25) plus 3 to the fifth power (243), which equals 268.

• The second expression is 3 to the fifth power (243) squared, which equals a much larger number.

• Comparing the two expressions, the second expression is significantly larger than the first.