Use the Product Rule of Exponents to simplify 5^(10)*5^(5) (1 point)
25^(15)
5^(50)
5^(15)
25^(50)
5^(10) * 5^(5) = 5^(10 + 5) = 5^(15)
To simplify the expression 5^(10)*5^(5) using the Product Rule of Exponents, you add the exponents when you multiply exponential expressions with the same base.
In this case, the base is 5, and the exponents are 10 and 5.
To simplify, you add 10 and 5:
10 + 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 can combine the two exponents by adding them together.
The Product Rule of Exponents states that for any non-zero number a and any integers m and n, a^(m) * a^(n) = a^(m+n).
In this case, a is 5, m is 10, and n is 5. So, applying the rule, we have:
5^(10) * 5^(5) = 5^(10+5)
Now, we can add the exponents:
5^(10+5) = 5^(15)
Therefore, the simplified expression is 5^(15).