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

User IpsRich
by
8.2k points

2 Answers

4 votes

Answer: 1/108

Explanation:

2^-2 is 1/4

3^3 is 27

1/4 / 27 = 1/108

Simple maths

User Erhan Bagdemir
by
8.3k points
3 votes

9514 1404 393

Answer:

1/108

Explanation:

Make use of the rule of exponents ...

a^-b = 1/a^b

__


(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.

User Alister Lee
by
8.3k points

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