Using the Product Rule of Exponents, what is the exponent of 7^2 x 7^3 in exponential simplest form? (1 point)
Correct! thanks for the help bye! 😊
And to others out there the answers are:
1. 5
2. 4
3. 4
4. 13
5. 243
100% correct!
The Product Rule of Exponents states that when multiplying two powers with the same base, we add their exponents.
Therefore, the exponent of 7^2 x 7^3 can be simplified as:
2 + 3 = 5
So, the exponent of 7^2 x 7^3 in exponential simplest form is 5.
What is the exponent in an equivalent form to the expression 1^1â‹…1^3 if the base is 1?(1 point)
The exponent in an equivalent form to the expression 1^1â‹…1^3, where the base is 1, can be simplified as follows:
1^1â‹…1^3 means that we are multiplying two powers with the same base 1. According to the Product Rule of Exponents, the exponent in the equivalent form of this expression would be the sum of the exponents.
So, 1^1â‹…1^3 is equal to 1^(1+3) which simplifies to 1^4.
Therefore, the exponent in an equivalent form to the expression 1^1â‹…1^3, where the base is 1, is 4.
Using the Product Rule of Exponents, what is the exponent of (1/2)^2 x (1/2)^2 in exponential simplest form?(1 point)
The Product Rule of Exponents states that when multiplying two powers with the same base, we add their exponents.
Therefore, the exponent of (1/2)^2 x (1/2)^2 can be simplified as:
2 + 2 = 4
So, the exponent of (1/2)^2 x (1/2)^2 in exponential simplest form is 4.
Applying the Product Rule of Exponents, what is the exponent in the equivalent form of (5/6)^3 x (5/6)^10 ?(1 point)
The Product Rule of Exponents states that when multiplying two powers with the same base, we add their exponents.
Therefore, the exponent in the equivalent form of (5/6)^3 x (5/6)^10 can be obtained by adding the exponents:
3 + 10 = 13
So, the exponent in the equivalent form of (5/6)^3 x (5/6)^10 is 13.
Apply the Product Rule of Exponents to solve and simplify 3^3â‹…3^2 as an equivalent expression.(1 point)
The Product Rule of Exponents states that when multiplying two powers with the same base, we add their exponents.
Therefore, applying the Product Rule of Exponents to 3^3â‹…3^2, we can simplify it as:
3^3â‹…3^2 = 3^(3+2)
= 3^5
So, the equivalent expression of 3^3â‹…3^2 after simplification is 3^5.