Question

(5c-²/6b-¹)-²*10а³b⁴Упростите выражение

Answer 1

Ответ:

Смотри решение на фото

Answer 2

Ответ:

смотри фото

Объяснение:

Answer 3

Sure, let's simplify the expression step by step:

1. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$

2. Apply the rule to your expression: $\left(\frac{5c^{-2}}{6b^{-1}}\right)^{-2} \times 10a^3b^4$

   becomes

   $\frac{1}{\left(\frac{5}{c^2 \cdot 6b}\right)^2} \times 10a^3b^4$

3. Square the expression inside the parentheses: $\frac{1}{\left(\frac{25}{36bc}\right)} \times 10a^3b^4$

4. Multiply by reciprocal is the same as dividing: $\frac{1}{\frac{25}{36bc}} \times 10a^3b^4$

   becomes

   $\frac{1}{\frac{25}{36bc}} \times \frac{360a^3b^4}{10}$

5. Simplify the fraction: $\frac{1}{\frac{25}{36bc}} \times \frac{360a^3b^4}{10}$

   becomes

   $\frac{1}{\frac{5}{12bc}} \times 36a^3b^4$

6. Divide by a fraction is the same as multiplying by its reciprocal: $\frac{1}{\frac{5}{12bc}} \times 36a^3b^4$

   becomes

   $1 \times \frac{12bc}{5} \times 36a^3b^4$

7. Multiply the constants: $\frac{12bc}{5} \times 36a^3b^4$

   becomes

   $\frac{432abc}{5} \times a^3b^4$

8. Combine like terms: $\frac{432a^4b^5c}{5}$

So, the simplified expression is $\frac{432a^4b^5c}{5}$.