%5E-1.jpeg "(8/3)^-1")
Understanding (8/3)^-1
This expression represents a negative exponent applied to a fraction. Let's break down the concept:
Negative Exponents
A negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. In simpler terms, it means flipping the fraction and then applying the exponent.
Applying the Concept to (8/3)^-1
- Flip the fraction: The reciprocal of 8/3 is 3/8.
- Apply the exponent: (3/8)^1 = 3/8
Therefore, (8/3)^-1 = 3/8
Key Takeaways
- Negative exponents represent reciprocals.
- To calculate a negative exponent, flip the base and apply the positive value of the exponent.
Understanding negative exponents allows you to simplify expressions and work with fractions more efficiently.