Question

(4/9)^-1=A. -4/9B. 9/4C. -9/4

Answer 1

Answer: 9/4

Step-by-step explanation: Think of $(\frac{4}{9})^{-1}$as $\frac{4^{-1} }{9^{-1}}$.

Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and

we can change 9⁻¹ to 9¹ by moving it to the numerator.

So we have 9¹/4¹ which simplifies to 9/4.