Rewrite as a base to a​ power, if possible.
6^4x6^5

To rewrite the expression \( 6^4 \times 6^5 \) as a base to a power, you can use the **product of powers property**. This property states that:

\[
a^m \times a^n = a^{m+n}
\]

Here, the base \( a \) is \( 6 \), and the exponents are \( 4 \) and \( 5 \). Applying the rule:

\[
6^4 \times 6^5 = 6^{4+5} = 6^9
\]

Thus, \( 6^4 \times 6^5 = 6^9 \).

Would you like more details on exponent rules, or do you have any other questions?

Here are 5 related questions:
1. How would you simplify \( 2^3 \times 2^7 \)?
2. What is \( (3^2)^3 \) using the power of a power rule?
3. How do you simplify \( 5^6 / 5^2 \)?
4. Can you rewrite \( 7^0 \times 7^5 \) as a single exponent?
5. What is the result of \( 10^4 \times 10^0 \)?

**Tip:** When multiplying numbers with the same base, always add the exponents!

Rewrite as a base to a​ power, if possible. 6^4 x 6^5

Learn how to simplify the expression 6^4 x 6^5 using the product of powers property. This solution involves adding the exponents to rewrite the expression as 6^9. Suitable for students in Grades 6-8, this topic covers key algebraic concepts and exponent rules.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation