Using the Product Rule of Exponents, what is the exponent of 7^2⋅7^3 in exponential simplest form
To use the Product Rule of Exponents, we multiply the bases and add the exponents.
In this case, the bases are both 7 and the exponents are 2 and 3.
So, the product is 7^2 * 7^3 = 7^(2+3) = 7^5.
Therefore, the exponent of 7^2 * 7^3 is 5.
To simplify the expression 7^2 ⋅ 7^3 using the Product Rule of Exponents, we need to add the exponents.
The Product Rule of Exponents states that when multiplying two exponents with the same base, we can add the exponents.
In this case, the base is 7 and the exponents are 2 and 3.
So, to simplify 7^2 ⋅ 7^3, we add the exponents:
7^2 ⋅ 7^3 = 7^(2+3) = 7^5
Therefore, the exponent of 7^2 ⋅ 7^3 in exponential simplest form is 5.
To find the exponent of 7^2 * 7^3 using the Product Rule of Exponents, we need to add the exponents together since we are multiplying the same base (in this case, 7) raised to different exponents.
The Product Rule of Exponents states that when you multiply two powers with the same base, you add their exponents. In this case, we have 7^2 * 7^3, where the base is 7. The exponent of the final expression is the sum of the exponents, which is 2 + 3 = 5.
Therefore, the exponent of 7^2 * 7^3 in exponential simplest form is 5.
What is the exponent in an equivalent form to the expression 1^1⋅1^3 if the base is 1
The exponent in an equivalent form to the expression 1^1⋅1^3, when the base is 1, can be found using the Product Rule of Exponents.
The Product Rule of Exponents states that when we multiply two exponents with the same base, we can add the exponents.
In this case, the base is 1 and the exponents are 1 and 3.
So, to simplify 1^1⋅1^3, we add the exponents:
1^1⋅1^3 = 1^(1+3) = 1^4
Therefore, the exponent in an equivalent form to the expression 1^1⋅1^3, when the base is 1, is 4.
Using the Product Rule of Exponents, what is the exponent of (1/2)^2⋅(1/2)^2 in exponential simplest form
To use the Product Rule of Exponents, we multiply the bases and add the exponents.
In this case, the bases are both (1/2), and the exponents are 2 and 2.
So, the product is (1/2)^2 * (1/2)^2 = (1/2)^(2+2) = (1/2)^4.
Therefore, the exponent of (1/2)^2 * (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⋅(5/6)^10
To apply the Product Rule of Exponents, we multiply the bases and add the exponents.
In this case, the bases are both 5/6, and the exponents are 3 and 10.
So, the product is (5/6)^3 * (5/6)^10 = (5/6)^(3+10) = (5/6)^13.
Therefore, the exponent in the equivalent form of (5/6)^3 * (5/6)^10 is 13.