Simplify completely. (c6/c2)5 Enter your answer in the box.

Mathematics

2 answers:

Vladimir [108]4 years ago

8 0

Answer:

c20

Step-by-step explanation:

Free_Kalibri [48]4 years ago

3 0

We are given expression : $(\frac{c^6}{c^2})^5.$ .

We need to simplify it.

<em>First we need to apply quotient rule of exponents.</em>

According to quotient rule of exponents, we need to subtract powers.

Therefore, $\frac{c^6}{c^2} = c^{6-2} = c^4$ .

<em>Now, we need to apply exponents of exponent rule in next step.</em>

According to exponents of exponent rule, we need to distribute whole exponent inside exponent.

Therefore, $(c^4)^5 = c^{4\times5}= c^{20}$ .

<h3>Therefore, final answer is $c^{20}$ .</h3>

You might be interested in

CAN SOMEONE PLEASE

pishuonlain [190]

Answer: The graph is shown below

The solution to the system is (x,y) = (2,3)

=============================================================

Explanation:

To graph $y = \frac{5}{2}x-2$ , we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.

The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.

The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.

Since this system has at least one solution, we consider it a consistent system.