%5E-3.jpeg "(2/7)^-3")
Understanding (2/7)^-3
The expression (2/7)^-3 might seem intimidating at first, but it's actually quite simple to understand. Let's break down the concept:
Negative Exponents
A negative exponent indicates a reciprocal. In simpler terms, it flips the base fraction. For example, (2/7)^-3 is the same as (7/2)^3.
Simplifying the Expression
Now, we can simplify the expression:
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(7/2)^3 = (7/2) * (7/2) * (7/2)
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Multiplying the numerators and denominators: (777) / (222) = 343/8
Therefore, (2/7)^-3 is equivalent to 343/8.
Key Takeaways
- Negative exponents represent reciprocals.
- To simplify a negative exponent, flip the base and change the sign of the exponent.
- Understanding negative exponents is essential for solving various mathematical problems.