Question

Simplify. v⁻⁹ * v⁻² Write your answer with a positive

Answer 1

The expression v⁻⁹ * v⁻² simplifies to 1/v¹¹ by adding the exponents and applying the rule for negative exponents, which places the variable with the negative exponent in the denominator.

Step-by-step explanation:

To simplify the expression v⁻⁹ * v⁻², we must follow the rules for multiplying with exponents. When multiplying similar bases, we add the exponents. Since both exponents are negative, we simply add the negative numbers together.

So, the expression becomes v⁻⁹ + (⁻²), which simplifies to v⁻¹¹. According to the rules of negative exponents, a negative exponent means that the variable should be placed in the denominator. Therefore, v⁻¹¹ can be rewritten as 1/v¹¹, resulting in a positive exponent.