Using the product rule of exponents, what is equivalent from 9⁵ * 9²?
Using the product rule of exponents, 9⁵ * 9² can be simplified to 9^(5+2).
5+2 is equal to 7, so 9^(5+2) is equivalent to 9^7.
To multiply numbers with the same base, you add their exponents. Therefore, using the product rule of exponents, the expression 9⁵ * 9² can be simplified as follows:
9⁵ * 9² = 9^(5+2) = 9⁷
So, 9⁵ * 9² is equivalent to 9⁷.
To find the equivalent expression using the product rule of exponents for 9⁵ multiplied by 9², we need to add the exponents of the same base.
The product rule of exponents states that when we multiply two terms with the same base, we add their exponents.
In this case, the base is 9. Hence, the equivalent expression would be 9^(5+2).
Simplifying the exponents, 5+2 is equal to 7. Therefore, the equivalent expression is 9^7.