Question

100^5÷(80+20)^10×50^5​

Answer 1

Ответ:

$100^5:(80+20)^{10}*50^5$

$100^5:100^{10}*50^5 = \frac{100^5}{100^1^0} *50^5=\frac{1*50^5}{100^5} =\frac{1}{2^{5} }=\frac{1}{32}$

Answer 2

Ответ:

Пошаговое объяснение:

100⁵ : (80 + 20)¹⁰ * 50⁵ =

100⁵ : (80 + 20)¹⁰ * (10 * 5)⁵ =

1 00⁵ : 1 00¹⁰ * ( 10⁵ * 5⁵ ) =

(10²)⁵ : (10²)¹⁰ * 10⁵ * 5⁵ =

10¹⁰ : 10²⁰ * 10⁵ * 5⁵ =

10-¹⁰ * 10⁵ * 5⁵ =

10-⁵ * 5⁵ =

(2 * 5)-⁵ * 5⁵ =

2-⁵ * 5-⁵ * 5⁵ =

2-⁵ * 5⁰ = 2-⁵ * 1 =

1/(2⁵) * 1 = 1/32 * 1 = 1/32

Answer 3

To simplify this expression, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break it down step by step:

1. Calculate the values inside the parentheses: (80 + 20) = 100

2. Now, we have the expression: 100^5 ÷ 100^10 × 50^5

3. To simplify further, use the rules of exponents: a^m ÷ a^n = a^(m - n)

   So, we can rewrite the expression as: 100^(5 - 10) × 50^5

4. Simplify the exponents: 100^(-5) × 50^5

5. A negative exponent means taking the reciprocal of the base to the positive exponent: 1/100^5 × 50^5

6. Now, we have: (1/100^5) × 50^5

7. Calculate the values: 1/100^5 = 1/100,000,000 50^5 = 312,500,000

8. Multiply the values: (1/100,000,000) × 312,500,000

9. Multiply the fractions: 312,500,000 / 100,000,000 = 3.125

So, the result of the expression 100^5 ÷ (80 + 20)^10 × 50^5 is approximately 3.125.