Use the Product Rule of Exponents to simplify 5^10⋅5^5(1 point)
Responses
5^50
5 superscript 50 baseline
25^15
25 superscript 15 baseline
25^50
25 superscript 50 baseline
5^15
5^15
To simplify the expression 5^10⋅5^5 using the Product Rule of Exponents, we add the exponents together. In this case, since the base is the same (5), when we multiply two terms with the same base, we add the exponents.
Therefore, 5^10⋅5^5 simplifies to 5^(10+5) = 5^15.
To simplify the expression 5^10 * 5^5 using the Product Rule of Exponents, you need to add the exponents of the same base, which in this case is 5. The Product Rule states that when multiplying two powers with the same base, you can add the exponents.
So, in this case, 5^10 * 5^5 can be simplified as 5^(10 + 5) = 5^15.
Therefore, the simplified expression is 5^15.