%5E-1-without-exponent.jpeg "(4/7)^-1 Without Exponent")
Understanding (4/7)^-1 without exponents
The expression (4/7)^-1 might seem intimidating at first glance, especially if you're not comfortable with exponents. However, it's actually quite straightforward to understand.
The Power of Negative Exponents
A negative exponent essentially means "take the reciprocal". In simpler terms, it flips the fraction. So, any number raised to the power of -1 is the same as its reciprocal.
Example: 5^-1 = 1/5
Applying this to (4/7)^-1
Following the rule of negative exponents, (4/7)^-1 is simply the reciprocal of 4/7.
Therefore, (4/7)^-1 = 7/4.
Simplifying the Expression
There's no further simplification needed as the fraction 7/4 is already in its simplest form.
In summary, (4/7)^-1 is equivalent to 7/4.