Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(1 point)

Question

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Answer 1

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.