Introduction to exponents QuickChek saw the multi step problem 3/9×12 with a small 2-2-3 with a small three
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.
To solve the expression 3/9 × 12 with exponents written as 2-2-3, we need to understand the order of operations and how exponents work.
1. First, let's simplify the expression inside the parentheses. In this case, the expression is 2-2-3. To interpret this, we need to know that a negative exponent means we need to take the reciprocal of the base raised to the positive exponent.
2-2-3 can be written as 2^(-2) * (1/2)^(-3).
Here, 2^(-2) means 1/2^2, and (1/2)^(-3) means 2^3.
Simplifying the expression inside the parentheses, we get:
1/2^2 * 2^3
2. Next, we need to evaluate the value of the exponents.
2^2 means 2 * 2 = 4, and 2^3 means 2 * 2 * 2 = 8.
So, our expression becomes:
1/4 * 8
3. Now, we can simplify the expression by performing the multiplication:
1/4 * 8 = 8/4 = 2
Therefore, the solution to the expression 3/9 × 12 with the exponents 2-2-3 is 2.
To solve the expression 3/9 × 12 with the exponent notation given as 2-2-3, we need to understand the rules of exponents.
First, let's interpret the exponent notation. When we have a number written with an exponent like 2-2-3, it means the number is raised to the power of the exponent represented by each digit. In this case, the number is 12, and we have 2, 2, and 3 as exponents. So, we can rewrite the expression as (12^2)^2^3.
Now, let's solve the problem step by step:
Step 1: Calculate the value of the exponent represented by the first digit: 12^2.
- 12^2 = 12 × 12 = 144.
Now we can rewrite the expression as 144^(2^3).
Step 2: Calculate the value of the exponent represented by the second digit: 2^3.
- 2^3 = 2 × 2 × 2 = 8.
Now we have the expression simplified to 144^8.
Step 3: Calculate the final result.
- 144^8 = 107,374,182,400.
So, the value of the expression 3/9 × 12 with the exponent notation 2-2-3 is 107,374,182,400.