Question

M⁷ ÷ m⁴ =b⁴ × b³ =c × c⁵ =2³ × 2 × 2⁸=3¹¹ ÷ 9=​

Answer 1

Ответ:

вот. все правильно) удачи

Answer 2

Let's break down each equation one by one:

1. M⁷ ÷ m⁴ = b⁴ × b³:

We can simplify this equation using the properties of exponents. When dividing with the same base, we subtract the exponents:

M⁷ ÷ m⁴ = M^(7-4) ÷ m⁴ = M³ ÷ m⁴

Similarly, when multiplying with the same base, we add the exponents:

b⁴ × b³ = b^(4+3) = b⁷

Therefore, we have:

M³ ÷ m⁴ = b⁷

2. b⁴ × b³ = c × c⁵:

Again, we can simplify using the properties of exponents:

b⁴ × b³ = b^(4+3) = b⁷

Similarly, when multiplying with the same base, we add the exponents:

c × c⁵ = c^(1+5) = c⁶

Therefore, we have:

b⁷ = c⁶

3. c × c⁵ = 2³ × 2 × 2⁸:

Simplifying using the properties of exponents:

c × c⁵ = c^(1+5) = c⁶

2³ × 2 × 2⁸ = 2^(3+1+8) = 2¹²

Therefore, we have:

c⁶ = 2¹²

4. 2¹² = 3¹¹ ÷ 9:

We can solve this equation by substituting the values:

2¹² = 3¹¹ ÷ 9

2¹² = (3¹¹) / (3²)

Using the property of dividing with the same base, we subtract the exponents:

2¹² = 3^(11-2) = 3⁹

Therefore, we have:

3⁹ = 2¹²

In summary, the equations can be simplified as follows:

M³ ÷ m⁴ = b⁷ b⁷ = c⁶ c⁶ = 2¹² 3⁹ = 2¹²