Use the Product Rule of Exponents to simplify 5^10 x 5^5
The Product Rule of Exponents states that when multiplying two exponential expressions with the same base, we can add their exponents.
So, to simplify 5^10 x 5^5, we add the exponents of the base 5.
5^10 x 5^5 = 5^(10+5) = 5^15.
Therefore, 5^10 x 5^5 is equal to 5^15.
To apply the Product Rule of Exponents, we add the exponents when multiplying the same base.
So, using the Product Rule of Exponents, we can simplify 5^10 x 5^5 as follows:
5^10 x 5^5 = 5^(10+5) = 5^15
Therefore, 5^10 x 5^5 can be simplified to 5^15.
find the numerical equivalent of 9^9 x 9^-6
To simplify the expression 5^10 x 5^5 using the Product Rule of Exponents, we need to add the exponents together.
The Product Rule states that when you multiply two numbers with the same base, you can add their exponents. In this case, the base is 5.
Therefore, 5^10 x 5^5 simplifies to 5^(10 + 5).
Adding the exponents, we get 5^15.
So, 5^10 x 5^5 = 5^15.