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can someone simplify 9^-2.5?

Sagot :

Answer: 1/243

Step-by-step explanation: To simplify the problem shown, our first step is to convert the decimal in the exponent, -2.5, to a fraction.

-2.5 is the same thing as -2 and 1/2 so we have 9^-2 and 1/2 and -2 and 1/2 is the same thing as -5/2 so we have 9^-5/2.

The rest of my work is attached in the image provided.

View image TheBlueFox