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algol [13]
3 years ago
5

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

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0

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.

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The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

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In this case, the equation that Jada had is the folllowing:

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Jada needed to solve for the variable "x" in order to find its value.

The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

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As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by -\frac{4}{9}<em>  </em>and the right side by -\frac{9}{4}.

Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.

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