## anonymous 5 years ago how do u raise a fraction to a power

1. anonymous

$({a \over b})^{n} = {a^n \over b^n}$

2. anonymous

any chance u could put a fractin in im really confused with this sort of maths thanks

3. anonymous

it says, if you want to raise any fration a/b (a symbolizing _any_ numerator and b symbolizing _any_ denominator) to the n-th power (n can be _any_ number - or even other expression), you get a fraction again, where you just raise the numerator by the desired exponent and the denomenator by the same desired exponent. (hope that helped - apologies for my english) Example 1: $({1 \over 4}) ^2 = {1^2 \over 4^2} = {1 \over 16}$ Example2: $({5 \over 4})^3 = {5^3 \over 4^3} = {125 \over 64}$

4. anonymous

Maybe this example helps: $({3 \over 7})^3 = {3 \over 7} \times {3 \over 7} \times {3 \over 7} = {{3\times3\times3} \over {7\times7\times7}} = {3^3 \over 7^3} = {27 \over 343}$

5. anonymous

for the example above how would you write this as an integer

6. myininaya

you can't

7. myininaya

unless you round

8. myininaya

an integer is an element of the set {...,-3,-2,-1,0,1,2,3,...}

9. anonymous

i think i have got muddled i need to know how to raise 1/27 to the power of 3

10. myininaya

(1/27)^3=1^3/27^3=1/(27*27*27)

11. anonymous

so the integer is 1

12. myininaya

no it is a rational number not an integer

13. myininaya

it is 1/(27*27*27)

14. myininaya

you can find the denominator's product by using a calculator

15. anonymous

how do u get an integer is this done by x the 27 3 times

16. myininaya

i have to leave this fraction cannot be written as an integer

17. anonymous

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