Question

1) (125+5 в -4степени)²= 2)3√24/√3=

Answer 1

Ответ:

1)

(125 + 1/5^4)^2

15625 + 250/5^4  +  1/5^8=

15625 + 250/625  +  1/5^8=

Ответ: 78127/5 + 1/5^8 либо ~15625,4

2)

6√6/√3

Ответ: 6√2 либо ~8,48528

Объяснение:

там где / это дробная черта, а ^ это в степени

Answer 2

Let's solve each expression step by step:

1. (125 + 5 * (-4)²)²

Step 1: Simplify the innermost expression inside the parentheses: (-4)² = (-4) * (-4) = 16

Step 2: Replace the simplified expression inside the parentheses: (125 + 5 * 16)²

Step 3: Perform the multiplication inside the parentheses: (125 + 80)²

Step 4: Add the values inside the parentheses: (205)²

Step 5: Square the result: 205 * 205 = 42025

So, (125 + 5 * (-4)²)² = 42025.

2. 3√24 / √3

Step 1: Simplify the radicals: √24 = √(4 * 6) = √4 * √6 = 2 * √6 √3 = √(3)

Step 2: Substitute the simplified radicals back into the expression: 3 * (2 * √6) / √3

Step 3: Rationalize the denominator by multiplying both the numerator and denominator by √3: (3 * 2 * √6 * √3) / (√3 * √3)

Step 4: Simplify the expression: (6 * √18) / 3

Step 5: Further simplify by breaking down √18: √18 = √(9 * 2) = √9 * √2 = 3 * √2

Step 6: Substitute the simplified radical back into the expression: (6 * 3 * √2) / 3

Step 7: Cancel out the common factor in the numerator and denominator: (6 * √2) / 1

Finally, the result is 6√2.