(2 X 15/3) (2/3)2 =

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Jun 12, 2024

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Evaluating the Expression: (2 x 15/3) (2/3)²

In this article, we will evaluate the expression (2 x 15/3) (2/3)² and simplify it to its simplest form.

Evaluating the Expression

Let's break down the expression into two parts:

(2 x 15/3)

To evaluate this part, we need to follow the order of operations (PEMDAS):

• Multiply 2 and 15: 2 x 15 = 30
• Divide 30 by 3: 30 ÷ 3 = 10

So, (2 x 15/3) = 10.

(2/3)²

To evaluate this part, we need to raise the fraction 2/3 to the power of 2:

• (2/3)² = (2²)/(3²) = 4/9

Multiplying the Two Parts

Now that we have evaluated both parts, we can multiply them together:

10 × (4/9) = 40/9

Therefore, the final answer is:

(2 x 15/3) (2/3)² = 40/9

In conclusion, we have successfully evaluated the expression (2 x 15/3) (2/3)² and simplified it to its simplest form, which is 40/9.