Exponent Rules Unit Test
Question
Use the Product Rule of Exponents to simplify 5^10⋅5^5(1 point)
The Product Rule of Exponents states that when multiplying two numbers with the same base, you add their exponents.
So to simplify 5^10⋅5^5, we add the exponents:
5^10⋅5^5 = 5^(10+5) = 5^15
Therefore, the simplified expression is 5^15.
does anyone know the answers
To simplify the expression 5^10⋅5^5 using the Product Rule of Exponents, we add the exponents when multiplying like bases.
The Product Rule states that for any non-zero base number a, and any integers m and n:
a^m ⋅ a^n = a^(m + n)
Applying this rule to the given expression, we have:
5^10⋅5^5 = 5^(10 + 5)
Adding the exponents, we get:
5^(10 + 5) = 5^15
Therefore, the simplified form of 5^10⋅5^5 using the Product Rule of Exponents is 5^15.
To simplify the expression using the Product Rule of Exponents, we need to multiply the terms that have the same base, which in this case is 5.
The Product Rule of Exponents states that for any non-zero base, when multiplying two terms with the same base, you can add their exponents.
So, in our expression, 5^10⋅5^5, we can add the exponents:
5^10⋅5^5 = 5^(10+5)
Now, we can simplify the exponent:
5^(10+5) = 5^15
Therefore, using the Product Rule of Exponents, the expression 5^10⋅5^5 simplifies to 5^15.