All categories

3 years ago

Apply the properties of exponents to rewrite each expression in the form kxn, where nn is an integer and x ≠0

Mathematics

1 answer:

professor190 [17]3 years ago

4 0

Answer:

The expression will be $0.333x^{-2}$

Step-by-step explanation:

We have given expression $\frac{x^{-3}x^5}{3x^4}$

We know the property of exponent that when two function are divided then the power of exponent is subtracted and when there is multiplication of two function then exponent is added

So $\frac{x^{-3}x^5}{3x^4}=\frac{x^{2}}{3x^4}=0.333x^{-2}$

So the expression will be $0.333x^{-2}$

You might be interested in

Can someone help please

Ilya [14]

Y=1.5x+2 because the rate of change is 1.5 and the y intercept is 2

4 0

3 years ago

Read 2 more answers

PICTURE IS SHOWNN HELP

just olya [345]

C and D are correct because 25 > 35 so that's C.

Its also D because they are not equal.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Chad drew a scale drawing of an apartment the broom closet which is 4 feet wide in real life is 6 inches wide in the drawing wha

Artyom0805 [142]

Note that 6 inches is half a foot, so if its 4ft. then 1/2 of a foot goes in 8 times which means that the scale factor is 8. :)

5 0

3 years ago

Read 2 more answers

2p^2+10=0 <br><br> Please help!

ohaa [14]

$2p^2+10=0\ \ \ |-10\\\\2p^2=-10\ \ \ |:2\\\\p^2=-5$
No real solutions, because for all real numbers the square of number is greater or equal 0.

7 0

3 years ago

Find the length of the curve. R(t) = 7t, 3 cos(t), 3 sin(t) , −2 ≤ t ≤ 2

Leviafan [203]

we are given

$r(t)=(7t,3cos(t),3sin(t))$

we can find x , y and z

$x=7t,y=3cos(t),z=3sin(t))$

now, we can use arc length formula

$L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt$

now, we can find derivative

$x'=7,y'=-3sin(t),z'=3cos(t))$

now, we can plug values

and we get

$L=\int _{-2}^2\sqrt{7^2+\left(-3\sin \left(t\right)\right)^2+\left(3\cos \left(t\right)\right)^2}dt$

$L=\int _{-2}^2\sqrt{7^2+9}dt$

$=\sqrt{58}\cdot \:2-\left(-2\sqrt{58}\right)$

$L=4\sqrt{58}$ ...........Answer

8 0

3 years ago