215k views
3 votes
Which is equivalent to the expression below? (3² * 3⁵)

1 Answer

7 votes

Final answer:

When multiplying numbers with the same base (3² * 3⁵), the exponents are added together to find the equivalent expression, which in this case is 3⁷.

Step-by-step explanation:

To simplify the expression (3² * 3⁵), we can use the properties of exponents. First, recall that when you multiply two terms with the same base, you can add their exponents. In this case, both terms have a base of 3. The expression can be rewritten as 3^(2+5). Now, simplify the exponent by adding 2 and 5, resulting in 3⁷. Therefore, the expression (3² * 3⁵) is equivalent to 3⁷. This means that 3 raised to the power of 7 is the simplified form of the original expression, capturing the combined effect of both exponents on the common base of 3.

User Hossein Sabziani
by
8.7k points