Question

Help me please????

Simplify completely.

(c6c2)5

Answer 1

Before we begin, you should remember the following exponential rules:

Rule #1: xᵃ * xᵇ = xᵃ⁺ᵇ

Rule #2: (xᵃ)ᵇ = xᵃᵇ

Rule#3: xᵃ / xᵇ = xᵃ⁻ᵇ

Now, for the given problem:

1- If the given problem was:

(c⁶c²)⁵

We will start by simplifying what's inside the brackets.

To do this, we will apply Rule#1 as follows:

(c⁶c²)⁵ = (c⁶⁺²)⁵ = (c⁸)⁵

Now, we can simplify this by applying Rule#2 as follows:

(c⁸)⁵ = c⁸ˣ⁵ = c⁴⁰

2- If the given problem was:

`((c^6)/(c^2) )^5`

We will start by simplifying what's inside the brackets.

To do this, we will apply Rule#3 as follows:

`((c^6)/(c^2) )^5 = (c^6^-^2)^5 = (c^4)^5`

Now, we can simplify this by applying Rule#2 as follows:

(c⁴)⁵ = c⁴ˣ⁵ = c²⁰

Hope this helps :)