Which expression has the same value as $$ -y^{-4} $$ ? $$ -\frac{y^{4}}{-\frac{1}{y^{4}}} $$ $$ \frac{1}{y^{4}} $$ $$ y^{4} $$

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We begin with the given expression:
$$
-y^{-4}
$$
Recall that a negative exponent means:
$$
y^{-4} = \frac{1}{y^4}
$$
Thus, we can rewrite the expression as:
$$
-y^{-4} = -\frac{1}{y^4}
$$

Now, we will compare this with each of the provided options.

**Option 1:** 
$$
-\frac{y^4}{-\frac{1}{y^4}}
$$
First, note that the two negative signs in the numerator and denominator cancel:
$$
-\frac{y^4}{-\frac{1}{y^4}} = \frac{y^4}{\frac{1}{y^4}}
$$
Dividing by a fraction is equivalent to multiplying by its reciprocal:
$$
\frac{y^4}{\frac{1}{y^4}} = y^4 \cdot y^4 = y^8
$$
This is not equivalent to $$-\frac{1}{y^4}$$.

**Option 2:** 
$$
\frac{1}{y^4}
$$
This expression is positive, whereas our simplified expression is negative. Therefore,
$$
\frac{1}{y^4} \neq -\frac{1}{y^4}
$$

**Option 3:** 
$$
y^4
$$
This expression does not match the form $$-\frac{1}{y^4}$$, as it is completely different.

Since none of the given options simplifies to $$-\frac{1}{y^4}$$, we conclude that none of the provided expressions is equivalent to $$ -y^{-4} $$.
None of the provided expressions is equivalent to $$ -y^{-4} $$.

Which expression has the same value as \( -y^{-4} \) ? \( -\frac{y^{4}}{-\frac{1}{y^{4}}} \) \( \frac{1}{y^{4}} \) \( y^{4} \)

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