Questions: Use the negative exponent rule to simplify. Write the answer with only positive exponents. All variables are nonzero. w^7 = □

Transcript text: Use the negative exponent rule to simplify. Write the answer with only positive exponents. All variables are nonzero. w^7 = □

Solution

Solution Steps

To simplify the expression using the negative exponent rule, we need to understand that a negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. However, in this case, the expression \( w^7 \) already has a positive exponent, so no simplification is needed. The expression is already in its simplest form with positive exponents.

Step 1: Understanding the Expression

The given expression is \( w^7 \). Since the exponent is positive, it is already in its simplest form according to the rules of exponents.

Step 2: Confirming the Simplification

Using the negative exponent rule, we know that a negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. However, since \( w^7 \) has a positive exponent, no further simplification is necessary.