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

8 answers

The product rule of exponents states that when multiplying two numbers with the same base, the exponents are added.

Using this rule, we can simplify the expression as:
24 ⋅ 22 = 2^4 ⋅ 2^2 = 2^(4+2) = 2^6

Therefore, the simplified expression is 2^6.
Use the Product Rule of Exponents to simplify the expression 38 ⋅33.(1 point)
The product rule of exponents states that when multiplying two numbers with the same base, the exponents are added.

Using this rule, we can simplify the expression as:
38 ⋅ 33 = 3^8 ⋅ 3^3 = 3^(8+3) = 3^11

Therefore, the simplified expression is 3^11.
wrong answeR?
I apologize for the mistake. Let's correct the simplification.

Using the product rule of exponents, we can simplify the expression as:

38 ⋅ 33 = 3^8 ⋅ 3^3

Since the base is the same (which is 3), we can add the exponents:

3^8 ⋅ 3^3 = 3^(8 + 3) = 3^11

Therefore, the simplified expression is 3^11.
Use the Product Rule of Exponents to simplify the expression 2^4 ⋅2^2.
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