Question

Simplify fully 4*–¹ +4*+¹ ÷17×12*

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify fully, we will follow the order of operations (PEMDAS/BODMAS):

4*–¹ +4*+¹ ÷17×12*

First, let's simplify the exponents:

4⁻¹ + 4¹ ÷ 17×12⁰

Since 4⁻¹ is the reciprocal of 4, it becomes 1/4:

1/4 + 4¹ ÷ 17×12⁰

Next, let's simplify the multiplication and division (from left to right):

1/4 + 4 ÷ 17×12⁰

12⁰ is equal to 1, so we simplify further:

1/4 + 4 ÷ 17×1

Now let's simplify the division:

1/4 + 4/17 × 1

To multiply fractions, we multiply the numerators and denominators separately:

1/4 + (4 × 1)/(17 × 1)

1/4 + 4/17

Now we need to find a common denominator to add these fractions. In this case, the common denominator is 4 × 17 = 68:

(1 × 17)/(4 × 17) + (4 × 4)/(17 × 4)

17/68 + 16/68

Now we can add the fractions with the same denominator:

(17 + 16)/68

33/68

Therefore, the fully simplified expression is 33/68.