Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(1 point)
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The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents.
Here, the base is 2 and the exponents are 4 and 2.
Using the product rule:
24 ⋅ 22 = 2^4 ⋅ 2^2
When multiplying powers with the same base, you add the exponents:
2^4 ⋅ 2^2 = 2^(4+2)
Adding the exponents gives us:
2^(4+2) = 2^6
Therefore, the simplified expression is 2^6.
To simplify the expression 24 ⋅22 using the Product Rule of Exponents, we can add the exponents of the bases 2.
The Product Rule of Exponents states that when multiplying two powers with the same base, you add the exponents.
In this case, the bases are 2 and the exponents are 4 and 2. By adding the exponents, we get:
24 ⋅22 = 2^4 ⋅ 2^2
To simplify this expression, we can add the exponents:
2^4 ⋅ 2^2 = 2^(4+2)
4+2 = 6
Therefore, 24 ⋅22 simplifies to 2^6.