Question

please explain step by step I will mark brainliest ​

Answer 1

Hey Buddy !

Answer:

5/64

Step-by-step explanation:

To Find :

$(\frac{4}{5}) ^{3} \times (\frac{5}{8})^{4}$

Procedure :

⇒ $(\frac{4 ^{3}}{5 ^{3}}) \times (\frac{5 ^{4}}{8 ^{4}})$

⇒ $(\frac{4 ^{3}}{8 ^{4}} ) \times (\frac{5 ^{4}}{5 ^{3}} )$

⇒ 5 × $(\frac{4 ^{3}}{8 ^{4}} )$

⇒ 5 × $(\frac{4 ^{3}}{(2 \ \times \ 4) ^{4}} )$

⇒ 5 × $(\frac{4 ^{3}}{2^{4} \ \times \ 4^{4} } )$

⇒ 5 × $\frac{1}{2^{4} \ \times \ 4}$

⇒ $\frac{5}{2^{4} \ \times \ 2^{2}}$

As xᵃ × xᵇ = xᵃ ⁺ ᵇ

⇒ $\frac{5}{2^{6}}$

⇒ $\frac{5}{64}$

Hope you find this useful !

Thanks !