Question

How would you solve this? (2^-2/3^3) PLEASE EXPLAIN

Answer 1

Answer: 1/108

Explanation:

2^-2 is 1/4

3^3 is 27

1/4 / 27 = 1/108

Simple maths

Answer 2

9514 1404 393

Answer:

1/108

Explanation:

Make use of the rule of exponents ...

a^-b = 1/a^b

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`(2^(-2))/(3^3)=(1)/((2^2)(3^3))=(1)/(4\cdot 27)=\boxed{(1)/(108)}`

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If you type this expression into your calculator, you will get the repeating decimal ...

`(2^(-2))/(3^3)=0.00\overline{925}=(925)/(99900)=\boxed{(1)/(108)}`

Some calculators will convert this to a fraction for you.