Use the Product Rule of Exponents to simplify 5^10⋅5^5
To simplify the expression 5^10 * 5^5 using the product rule of exponents, we can add the exponents since the base is the same.
The product rule states that for two exponential terms with the same base, you can multiply the bases and add the exponents.
So, 5^10 * 5^5 = 5^(10+5) = 5^15.
Therefore, the simplified expression is 5^15.
The Product Rule of Exponents states that when you multiply two powers with the same base, you can add their exponents.
So for 5^10 ⋅ 5^5, the base (which is 5) is the same, so we can add the exponents:
5^10 ⋅ 5^5 = 5^(10+5)
Adding the exponents, we get:
5^(10+5) = 5^15
Therefore, 5^10 ⋅ 5^5 simplifies to 5^15.
To simplify the expression 5^10 * 5^5 using the product rule of exponents, we need to add the exponents:
5^10 * 5^5 = 5^(10+5)
Now, we can simplify the expression by adding the exponents:
5^(10+5) = 5^15
So, 5^10 * 5^5 simplifies to 5^15.