Question

Simplify 1/v⁻¹ + u².
Write your answer using only positive exponents.

Answer 1

To simplify the expression 1/v⁻¹ + u², rewrite 1/v⁻¹ as v¹ and u² as u¹². The simplified expression is v + u¹².

Step-by-step explanation:

To simplify the expression 1/v⁻¹ + u², we need to understand the rules of exponents.

First, let's simplify the expression 1/v⁻¹. Any number raised to the power of -1 is equal to its reciprocal, so 1/v⁻¹ can be rewritten as v¹ (since 1/v⁻¹ is the reciprocal of v).

Next, we can rewrite u² as u¹² since any number raised to the power of 2 is equal to itself squared.

Now, we can combine the two terms: v¹ + u¹². Since v¹ is the same as just v and u¹² can't be simplified further, the simplified expression is v + u¹².