# How do you simplify #8/(m^2) * (m^2/(2c))^2#?

Cancel the terms common to the numerator and to the denominator.

Your initial expression looks like this

Your initial expression will thus be equivalent to

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To simplify the expression 8/(m^2) * (m^2/(2c))^2, we can follow these steps:

- Simplify the expression within the parentheses first: m^2/(2c) = (m^2)/(2c).
- Square the expression within the parentheses: (m^2/(2c))^2 = (m^2/(2c)) * (m^2/(2c)).
- Multiply the two fractions: (m^2/(2c)) * (m^2/(2c)) = (m^2 * m^2) / (2c * 2c).
- Simplify the numerator and denominator: (m^2 * m^2) / (2c * 2c) = (m^4) / (4c^2).
- Multiply the simplified expression by 8/(m^2): 8/(m^2) * (m^4) / (4c^2) = (8 * m^4) / (m^2 * 4c^2).
- Simplify further: (8 * m^4) / (m^2 * 4c^2) = (2m^4) / (c^2).

Therefore, the simplified expression is (2m^4) / (c^2).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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