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Evaluate. Write your answers as fractions. (2)/(5³)=(2)/(15) (-(2)/(3)²

User Kirschkern
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Let's calculate these terms one by one:

1. For the first term, (2)/(5³). The denominator is 5 cubed or 5*5*5, which is 125. So the expression becomes 2/125. Converting this to a decimal gives us approximately 0.016.

2. The second term, (2)/(15) is straightforward. 2 divided by 15 equals approximately 0.1333.

3. Next we have the third term, (-(2)/(3))². First, let's solve what's inside parentheses. 2 divided by 3 equals approximately 0.6667, and the negative sign in front makes this -0.6667. From there, we square this number. When we square a negative number, it becomes positive. Hence, we get 0.4444. Unfortunately, the question asks us to keep the negative sign on the outside of the parentheses, before the squaring operation. This means that we square only the number inside parentheses, and then apply the negative. This gives us -0.4444.

So the three terms evaluated are 0.016, 0.1333, and -0.4444, respectively.

User Dracodoc
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