All categories

3 years ago

After the expression x^10 ^3/5 is simplified as much as possible, x is raised to what exponent?

Mathematics

2 answers:

Leokris [45]3 years ago

6 0

Answer:

$x^6$ .

Step-by-step explanation:

Given : $x^{10}*^{\frac{3}{5}$ .

To find : simplified as much as possible, x is raised to what exponent.

Solution : We have given that $x^{10}*^{\frac{3}{5}$ .

By the exponential rule : $x^{a}(^{b} ) =x^{ab}$ .

Then $x^{10}*^{\frac{3}{5}$ = $x^{\frac{30}{5}$

$x^6$ .

Therefore, $x^6$ .

Marat540 [252]3 years ago

3 0

x^(10*[ 3/5 ] ) = x^6

You might be interested in

Write the standard form equation of the ellipse shown in the graph, and identify the foci.

vlada-n [284]

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3) and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1$

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6 and b = 4

The standard equation becomes

$\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1$

$\frac{(x+2)^2}{16} + \frac{(y+3)^2}{36}=1$

Foci are (h,k+c) and (h,k-c)

$c=\sqrt{a^2-b^2}$

Plug in the a=6 and b=4

$c=\sqrt{6^2-4^2}$

$c=\sqrt{20}$

$c=2\sqrt{5}$ , we know h=-2 and k=-3

Foci are $(-2,-3+2\sqrt{5})$ and $(-2,-3-2\sqrt{5})$

Option A is correct

6 0

3 years ago

A coffee pot holds 4 1/4 quarts of coffee. How much is this in cups? Write your answer in a mixed number

elena-s [515]

Hello!

1 quart=4 cups

4(4)=16

1/4(4)=4/4

16+4/4=16 4/4

Our final answer is 16 4/4 cups.

I hope this helps!

6 0

3 years ago

the long sides of a rectangle are 5 ft 6 in and it's perimeter 16 ft 10 in how long are the shorter sides?

loris [4]

So a rectangle has 2 Long side so that would be a total of 10 ft 12 in which is 13 feet so you
take 16 ft 10 in subtract 13 feet and you get 3 ft 10 in remaining so then you divide that into two because there’s two shorter size and that gives you 1 foot and 11 inches each

5 0

3 years ago

What does “x” represent

galina1969 [7]

The answer is 4 as 4x4 is 16 (squared means the number multiplied by itself) and

16+16+9=41

Therefore the answer is x=4

8 0

3 years ago

Read 2 more answers

Community Gym charges a $70 membership fee and a $70 monthly fee. Workout Gym charges a $200 membership fee and a $60 monthly fe

Triss [41]

Answer:

6 months

Step-by-step explanation:

6 0

3 years ago