1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mart [117]
1 year ago
10

Pls solve this question ​

Mathematics
1 answer:
just olya [345]1 year ago
3 0

Answer:

{( \sqrt{ {x}^{ - 3} }) }^{5}  =  ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5}  \\  \\  =  {x}^{ - 3 \times  \frac{1}{2}  \times 5}   =  {x}^{  -  \frac{15}{2} }  =  \frac{1}{ {x}^{ \frac{15}{2} } }

<em><u>Or ;</u></em>

{( \sqrt{ {x}^{ - 3} } )}^{5}  =  {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5}  = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5}  \\  \\  =  ( { \frac{1}{ \sqrt{x}  \sqrt{ {x}^{2} } } })^{5}  =  ({ \frac{1}{ x\sqrt{x} }})^{5}   \\  \\  = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) =  \frac{1}{ {x}^{5}  \times  {x}^{ \frac{1}{2} \times 5 } }  \\  \\  =  \frac{1}{ {x}^{5}  \times  {x}^{ \frac{5}{2} } }  =  \frac{1}{ {x}^{5}  \sqrt{ {x}^{5} } }  \\  \\  =  \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1}  }  }  =  \frac{1}{ {x}^{5}  \sqrt{x}  \sqrt{( { {x}^{2} })^{2} } }  \\  \\  =  \frac{1}{ {x}^{5} {x}^{2}  \sqrt{x}  }  =  \frac{1}{ {x}^{7} \sqrt{x}  }   =  \frac{ \sqrt{x} }{ {x}^{8} }

You might be interested in
According to the graph above,what is the unit rate of a human's heartless per minute​
kari74 [83]

The unit rate for the graph above is 60 heartbeats per minute. Half of 2 is 1 so go to the 1 min. mark and go up until you reach the line graph and it says 60. Do the same for the 2 min. mark and go up until you reach the line graph and it'll say 120. 60 ÷60=1 and 120 ÷ 60= 2

5 0
2 years ago
I really need help on my algebra review
Ilya [14]

Answer:

the slope becomes 3 and the graph moves up 7 units. 2. The slope becomes 5 and the graph moves down 2 units.

]

5 0
2 years ago
What is 18/48 simplify
Y_Kistochka [10]
Hmm they're both even numbers so maybe we can start by cutting each number in half.
\rm \dfrac{18}{48}=\dfrac{9\cdot2}{24\cdot2}=\dfrac{9}{24}
18 and 48 had 2 as a common factor.
So factoring a 2 out of each number was the same as cutting each number in half. Try to do something similar with the 9 and 24. They each have something in common.
4 0
2 years ago
Read 2 more answers
What is the surface area of the prism in square inches?
Kay [80]

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
Select the action you would use to solve 4x = 16. Then select the property
oksian1 [2.3K]

Answer:

A.

Step-by-step explanation:

Since you are trying to find <em>x</em>, you have to divide both sides by 4 to isolate <em>x</em> and get your answer.

3 0
2 years ago
Other questions:
  • Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.
    11·1 answer
  • Average weight of a package?
    10·2 answers
  • What is the equation of the line that haas the x-intercept of -5?
    15·1 answer
  • A bicycle wheel is rotating about a fixed axis at 10 rev/s in a clockwise sense. Five seconds later the wheel is rotating at 50
    6·1 answer
  • How would you solve a problem in time travel if you you departing at 1:10 PM EST and arriving at 8:29 PM PST.
    6·1 answer
  • Name all numbers between 67 and 113 that are a multiple of 4, 9 and 12.
    9·2 answers
  • For this question you must Answer A B and C
    7·2 answers
  • PLEASE HELP<br><br> Prove that: 2^13–2^10–2^9 is divisible by 13
    7·1 answer
  • Ashley has $150 in her bank account. She buys a bike for $200. Now her account balance is -$50. If she deposits the $75 she rece
    8·1 answer
  • Find the cost of sending 25 text messages.<br> Text messages- 5,6,7<br> Cost- 2.5,3,3.5
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!