Question

hi someone tell it's correct answer it's of 7th class, thanks​

Answer 1

Answer:

64 = 4 × 4 × 4 = 4³

729 = 9 × 9 × 9 = 9³

$\dfrac{64}{729}$ = $\dfrac{4³}{9³}$

$\dfrac{64}{729}$ = $\dfrac{4}{9}^3$

Answer 2

We already know that,

729 = 9 × 9 × 9

We can also write this as :

9 × 9 × 9 = 3 × 3 × 3 × 3 × 3 × 3

Thus,

Expressing this in a^m form, we get :

\tt{3 × 3 × 3 × 3 × 3 × 3 = 3 {}^{6}}3×3×3×3×3×3=3

6

Now,

Similarly,

We can write 64 as :

8 × 8

We can also write this as :

8 × 8 = 2 × 2 × 2 × 2 × 2 × 2

Thus, Expressing this in a^m form,

\tt{2 × 2 × 2 × 2 × 2 × 2 = 2 {}^{6}}2×2×2×2×2×2=2

6

Thus, We got the fraction :

(3/2)^6

hope it helps.....