blackviels12
contestada

What is the simplified form of StartRoot 400 x Superscript 100 Baseline EndRoot ?

200x Superscript 10
200x Superscript 50
20x Superscript 10
20x Superscript 50

Respuesta :

Answer:

I think its 20x^50 : D

Step-by-step explanation:

The simplified form of √(400x¹⁰⁰) is;

D; 20x⁵⁰

We want to find the simplified form of √(400x¹⁰⁰)

  • Now, according to laws of indices;

√ab = √a × √b

  • Thus;

√(400x¹⁰⁰) = √400 × √(x¹⁰⁰)

⇒ 20√(x¹⁰⁰)

  • Also according to law of indices;

a⁴ = a²  × a²

Thus;

x¹⁰⁰ = x⁵⁰ × x⁵⁰

Thus;

√(x¹⁰⁰) = √(x⁵⁰ × x⁵⁰)

⇒ x⁵⁰

Our final answer is;

20x⁵⁰

Read more about laws of indices at; https://brainly.com/question/12985890