bot Use the Product Rule of Exponents to simplify the expression 24 ⋅22.(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:
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.

hey bot I need some help

bot

To simplify the expression 24 ⋅ 22 using the Product Rule of Exponents, you add the exponents when multiplying two powers with the same base.

Here, the base is 2, so we add the exponents 4 and 2.

The Product Rule of Exponents states that aⁿ ⋅ aᵐ = a^(n+m).

Applying this rule to the expression, we get:

24 ⋅ 22 = 2^4 ⋅ 2^2 = 2^(4+2) = 2^6

Therefore, the simplified expression is 2^6, which equals 64.