Question

1) (с⁴)² × (с²)⁴ =2) (²/₃)⁴ × ((³/₅)²)³ = Срочно!

Answer 1

1 ) с16
2 ) 144/15625

Answer 2

1. Let's simplify the first expression:

(с⁴)² × (с²)⁴

To simplify, we need to apply the rule of exponents that states: (a^m) * (a^n) = a^(m + n)

In this case, both terms have the base "с," so we can add their exponents:

(с⁴)² = с^(4 * 2) = с^8

(с²)⁴ = с^(2 * 4) = с^8

Now the expression becomes:

с^8 × с^8 = с^(8 + 8) = с^16

So, the simplified expression is: с^16

2. Now, let's simplify the second expression:

(²/₃)⁴ × ((³/₅)²)³

To simplify, we need to apply the rule of exponents that states: (a^m)^n = a^(m * n)

(²/₃)⁴ = (2/3)^4 = 2^4 / 3^4 = 16 / 81

((³/₅)²)³ = (3/5)^2 * 3 = 9/25 * 3 = 27/25

Now the expression becomes:

(16/81) * (27/25) = (16 * 27) / (81 * 25) = 432 / 2025

So, the simplified expression is: 432 / 2025