what is the product rule of exponents to simplify 5^10 x 5^5 (1 point)
The product rule of exponents states that when multiplying two exponential expressions with the same base, you keep the base and add the exponents.
So, to simplify 5^10 * 5^5, you would keep the base 5 and add the exponents 10 and 5:
5^10 * 5^5 = 5^(10+5) = 5^15
The product rule of exponents states that when multiplying two numbers with the same base, you can add the exponents.
In this case, we have 5^10 multiplied by 5^5. Using the product rule, we can add the exponents:
5^10 x 5^5 = 5^(10+5)
Simplifying further:
5^(10+5) = 5^15
Therefore, 5^10 x 5^5 simplifies to 5^15.
To simplify the expression 5^10 x 5^5 using the product rule of exponents, you need to apply the rule which states that when multiplying two exponential terms with the same base, you add their exponents.
In this case, the base is 5, so you can apply the product rule by adding the exponents. The first term, 5^10, has an exponent of 10, and the second term, 5^5, has an exponent of 5.
So, when you multiply 5^10 x 5^5, you can rewrite it as 5^(10+5), by adding the exponents.
Hence, the simplified expression would be 5^15.