9×9×9×9×9 write in exponential form with base 3

To write \(9 \times 9 \times 9 \times 9 \times 9\) in exponential form with base 3, first note that \(9\) can be written as \(3^2\). 

So:

\[
9 \times 9 \times 9 \times 9 \times 9 = (3^2) \times (3^2) \times (3^2) \times (3^2) \times (3^2)
\]

Now, using the properties of exponents, you can combine these as:

\[
(3^2) \times (3^2) \times (3^2) \times (3^2) \times (3^2) = 3^{2+2+2+2+2} = 3^{10}
\]

So, \(9 \times 9 \times 9 \times 9 \times 9\) in exponential form with base 3 is \(3^{10}\).

Would you like further details or have any questions?

---

Here are five related questions:

1. How would you express \(27 \times 27 \times 27\) in exponential form with base 3?
2. What is the value of \(3^{10}\) as a numerical expression?
3. How do you express \(81\) in exponential form with base 3?
4. Can you simplify the expression \(9^5\) using base 3?
5. What is the general rule for converting powers of 9 into powers of 3?

**Tip:** When dealing with exponents, remember that multiplying the same base raised to different powers allows you to add the exponents together.

Learn how to express 9^5 in exponential form with base 3. This problem involves understanding exponents and their properties, specifically multiplication of exponents. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation