Use the Product Rule of Exponents to simplify the expression 24 ⋅22.
The Product Rule of Exponents states that when multiplying two numbers with the same base, you add the exponents.
Therefore, with the expression 24 ⋅22, the base is 2.
The exponents are 4 and 2.
Using the Product Rule of Exponents, we add the exponents:
4 + 2 = 6
Therefore, the expression simplifies to: 24 ⋅22 = 26.
Use the Product Rule of Exponents to simplify the expression 2^4 ⋅ 2^2
To simplify the expression 24 ⋅ 22 using the Product Rule of Exponents, we add the exponents of the same base.
For the base 2, we have:
4 + 2 = 6
Therefore, 24 ⋅ 22 simplifies to 26.
To simplify the expression 24 ⋅ 22 using the Product Rule of Exponents, we need to multiply the base numbers (2) and add the exponents (4 and 2).
Essentially, the Product Rule of Exponents states that for two numbers with the same base, when they are multiplied together, the exponents are added.
In this case, we have 24 ⋅ 22, so the base number is 2. We add the exponents 4 and 2, which gives us 4 + 2 = 6. Therefore, the simplified expression is 26.
To summarize:
24 ⋅ 22 = 2(4+2) = 26