Using the Product Rule of Exponents, what is the exponent of (1/2) power of 2⋅(1/2) power of 2 in exponential simplest form?(1 point)
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add the exponents.
In this case, we have (1/2) power of 2 multiplied by (1/2) power of 2.
Using the Product Rule, we add the exponents: (1/2) + (1/2) = 2/2 = 1.
Therefore, the exponent of (1/2) power of 2⋅(1/2) power of 2 is 1.
To find the exponent of (1/2) power of 2⋅(1/2) power of 2 using the Product Rule of Exponents, we need to multiply the exponent of the base 2.
The Product Rule of Exponents states that when multiplying two numbers with the same base, we add the exponents.
So, the exponent of (1/2) power of 2⋅(1/2) power of 2 can be calculated as follows:
(1/2) * 2 + (1/2) * 2
Simplifying the exponents:
1 + 1
Which equals:
2
Therefore, the exponent of (1/2) power of 2⋅(1/2) power of 2 in its simplest form is 2.
To simplify the expression (1/2) power of 2 ⋅ (1/2) power of 2 using the Product Rule of Exponents, we need to multiply the exponents together.
The Product Rule states that when you multiply two exponential expressions with the same base, you can add the exponents.
In this case, we have (1/2)^2 ⋅ (1/2)^2. To apply the Product Rule, we add the exponents: 2 + 2 = 4.
Therefore, the exponent of (1/2) power of 2 ⋅ (1/2) power of 2 in simplest form is 4.