Question

(125×5^-5)^2=??????????????????????????Помогите пожалуйста заранее спасибо.

Answer 1

=(125/5^5)^2=(5^3/5^5)^2=(1/5^2)^2=1/5^4=1/625

Answer 2

To solve this problem, we can follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's start by simplifying the exponent first:

5^-5 means 1/5^5

So we have:

(125 × 1/5^5)^2

Next, we can simplify 5^5:

5^5 = 5 × 5 × 5 × 5 × 5 = 3125

So we have:

(125 × 1/3125)^2

Now we can simplify the fraction:

1/3125 = 0.00032

So we have:

(125 × 0.00032)^2

Next, we can multiply 125 and 0.00032:

125 × 0.00032 = 0.04

So we have:

(0.04)^2

Finally, we can square 0.04:

0.04^2 = 0.0016

Therefore,

(125 × 5^-5)^2 = 0.0016

So the answer is 0.0016.