Question

4. Express as powers of rational numbers:
144/81
​

Answer 1

Answer:

12^2/9^2

Step-by-step explanation:

it is an easy question.

we find square roots of both the no.

144 square root is 12, you can find by prime factorisation.

same goes for 81. 81 square root is 9(prime factorisation)

never got brainliest(please mark)

Answer 2

Answer:

Hope it helps. . . . . . . . .

Step-by-step explanation:

Here,144 = 12×12= 12^2

Also, 81 = 9×9 = 9^2

Hence,144/81=(12×12)/(9×9)

or, =(12^2)/(9^2)

or,= (12/9)^3

You can do it in this way if it is told to express the whole fraction as power of rational numbers. ......

Or you can do this in this way........

144 = 12×12= 12^2

Also, 81 = 9×9 = 3×3×3×3

Hence,144/81=(12×12)/(9×9)

or,=(12×12)/(3×3×3×3)

or, =(12^2)/(3^4)

or,= (12^2)/(3^4)