Question

Introduction to exponents QuickChek saw the multi step problem 3/9×12 with a small 2-2-3 with a small three

Answer 1

To solve this problem, we need to understand the concept of exponents. An exponent is a way of showing repeated multiplication of a number. In this case, the small 2-2-3 with a small three represents the exponent.

To simplify the expression 3/9×12 with the exponent 2-2-3, we follow the order of operations (PEMDAS/BODMAS).

First, let's focus on the exponent 2-2-3. This means we have a negative exponent, which indicates that the base should be moved to the denominator of a fraction.

Therefore, we can rewrite the expression as 3/9 × 1/12^3.

Next, let's calculate the value of the exponent 12^3. This means 12 raised to the power of 3, which is 12 × 12 × 12 = 1728.

Now, we can substitute the value of the exponent back into the expression:

3/9 × 1/1728.

To simplify the fraction 3/9, we can divide both the numerator and the denominator by their greatest common factor, which is 3.

This gives us 1/3 × 1/1728.

Finally, we can multiply the fractions together: 1/3 × 1/1728 = 1/5184.

Therefore, the simplified expression is 1/5184.