Simplify. $$ 5 y^{-3} $$ $$ 0-125 y^{3} $$ $$ \frac{5}{y^{3}} $$ $$ \frac{1}{5 y^{3}} $$ $$ -5 y^{3} $$

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UpStudy AI · Accepted Answer

Certainly! Let's simplify each of the given expressions step by step.

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1. **Simplify $$ 5 y^{-3} $$**

$$
   5 y^{-3} = \frac{5}{y^{3}}
   $$

**Simplified Form:** $$\frac{5}{y^{3}}$$

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2. **Simplify $$ 0 - 125 y^{3} $$**

$$
   0 - 125 y^{3} = -125 y^{3}
   $$

**Simplified Form:** $$-125 y^{3}$$

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3. **Simplify $$ \frac{5}{y^{3}} $$**

This expression is already in its simplest form.

**Simplified Form:** $$\frac{5}{y^{3}}$$

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4. **Simplify $$ \frac{1}{5 y^{3}} $$**

This expression is also already in its simplest form.

**Simplified Form:** $$\frac{1}{5 y^{3}}$$

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5. **Simplify $$ -5 y^{3} $$**

This expression is already simplified.

**Simplified Form:** $$-5 y^{3}$$

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## Summary of Simplified Expressions

1. $$ 5 y^{-3} = \frac{5}{y^{3}} $$
2. $$ 0 - 125 y^{3} = -125 y^{3} $$
3. $$ \frac{5}{y^{3}} $$ (already simplified)
4. $$ \frac{1}{5 y^{3}} $$ (already simplified)
5. $$ -5 y^{3} $$ (already simplified)

If you have any further questions or need additional assistance with these expressions, feel free to ask!
$$ 5 y^{-3} = \frac{5}{y^{3}}, \quad 0 - 125 y^{3} = -125 y^{3}, \quad \frac{5}{y^{3}}, \quad \frac{1}{5 y^{3}}, \quad -5 y^{3} $$

Simplify.

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