What is (2)^2 ÷ (9)^2?

In this article, we will dive into the mathematical expression (2)^2 ÷ (9)^2 and explore the step-by-step solution to this problem.

Understanding Exponents

Exponents are a way of representing repeated multiplication of a number. The expression (2)^2 is read as "2 raised to the power of 2" and it means that we need to multiply 2 by itself once, resulting in the value of 4.

Similarly, (9)^2 is read as "9 raised to the power of 2" and it means that we need to multiply 9 by itself once, resulting in the value of 81.

Performing Division

Now, we need to divide (2)^2 by (9)^2. Division is the inverse operation of multiplication, so we can think of this as finding how many times (9)^2 goes into (2)^2.

Let's break down the steps:

1. Calculate (2)^2: 2 × 2 = 4
2. Calculate (9)^2: 9 × 9 = 81
3. Divide (2)^2 by (9)^2: 4 ÷ 81 = 1/81

Therefore, the result of (2)^2 ÷ (9)^2 is 1/81.

Simplifying the Expression

We can further simplify the expression by rewriting it as a single fraction: (2)^2 ÷ (9)^2 = (2^2) ÷ (9^2) = 4 ÷ 81 = 1/81

So, the final answer is 1/81.

In conclusion, the mathematical expression (2)^2 ÷ (9)^2 can be solved by first calculating the values of the exponents, then performing the division operation, and finally simplifying the result to the fraction 1/81.