Use the Product Rule of Exponents to simplify the expression 3^8 ⋅3^3
To simplify the expression 3^8 ⋅3^3 using the Product Rule of Exponents, we add the exponents when multiplying two powers with the same base.
In this case, the base is 3, so applying the Product Rule, we add the exponents:
3^8 ⋅3^3 = 3^(8+3) = 3^11
Therefore, the expression is simplified to 3^11.
Use the Product Rule of Exponents to simplify the expression 7^5 7^2
To simplify the expression 3^8 ⋅3^3 using the Product Rule of Exponents, we need to add the exponents of the same base, which in this case is 3.
The Product Rule states that when multiplying two powers with the same base, we add their exponents.
So, applying the Product Rule, we can simplify the expression as follows:
3^8 ⋅ 3^3 = 3^(8+3)
Adding the exponents gives us:
3^(8+3) = 3^11
Therefore, the expression 3^8 ⋅3^3 simplifies to 3^11.
To simplify the expression 3^8 ⋅ 3^3 using the Product Rule of Exponents, we need to add the exponents together.
The Product Rule of Exponents states that when we multiply two exponential expressions with the same base, we add the exponents. In other words, for any positive integers a and b:
a^m ⋅ a^n = a^(m+n)
Applying this rule to the expression 3^8 ⋅ 3^3, we have:
3^8 ⋅ 3^3 = 3^(8+3) = 3^11
Therefore, the simplified expression is 3^11.