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Maksim231197 [3]
4 years ago
15

How do I evaluate (1/9)^3

Mathematics
1 answer:
Mariana [72]4 years ago
6 0

Answer:

3^{-6} or 1/729

Step-by-step explanation:

First recognize that 1/9 is equal to 3^-2

This is because when we add a negative exponent to a number we start to express its exponents as a fraction of 1.

Let me further explain

6^1 = 6

6^2 = 36

So... using this logic

6^-1 = 1/6

6^-2 = 1/36

So for this problem..

1/9 = 3^-2

Then we have a power to a power which when you have a power raised to a power, you multiply

So.. (3^-2)^3 = 3 which is the base to the power of -2 x 3 which is -6

So the answer is 3^-6

Which equals 1/3^6 power which is 1/729.

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