Question

how do u raise a fraction to a power

Answer 1

\[({a \over b})^{n} = {a^n \over b^n}\]

Answer 2

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

Answer 3

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:
\[({5 \over 4})^3 = {5^3 \over 4^3} = {125 \over 64}\]

Answer 4

Maybe this example helps:

\[({3 \over 7})^3 = {3 \over 7} \times {3 \over 7} \times {3 \over 7} = {{3\times3\times3} \over {7\times7\times7}} = {3^3 \over 7^3} = {27 \over 343}\]

Answer 5

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

Answer 6

you can't

Answer 7

unless you round

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

so the integer is 1

Answer 12

no it is a rational number not an integer

Answer 13

it is 1/(27*27*27)

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

ok thanks four your help