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
KIM [24]
3 years ago
12

Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.

Mathematics
2 answers:
ozzi3 years ago
7 0

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

Murrr4er [49]3 years ago
3 0

ANSWER

{2}^{ \frac{9}{10} }

EXPLANATION

The given expression is

\sqrt[5]{4}  \times  \sqrt{2}

Recall that:

\sqrt[n]{ {a}^{m} }  =  {a}^{ \frac{m}{n} }

\sqrt[5]{ {2}^{2} }  \times  \sqrt{ {2}^{1} }

\sqrt[5]{ {2}^{2} }  \times  \sqrt{ {2}^{1} }  =  {2}^{ \frac{2}{5} }  \times   {2}^{ \frac{1}{2} }

Recall that:

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

We now apply this property of a exponents to obtain:

\sqrt[5]{ {2}^{2} }  \times  \sqrt{2}  =  {2}^{ \frac{2}{5} +  \frac{1}{2} }  =  {2}^{ \frac{9}{10} }

You might be interested in
A) A pack of 8 batteries cost £3.99 how much dose each battry cost? ( give your answer in penny ?) _____________________________
joja [24]
£3.99 divided by 8 is £0.49875
Which, changed into pence and rounded up, is 50p.

£2.79 divided by 6 is £0.465
Which, changed into pence and rounded up is 47p.

50p is bigger than 47p

50 subtract 47 is 3p

The second one has the better value for money as it costs 3p less per battery.

5 0
3 years ago
Read 2 more answers
Grandpa gump is 63yrs old. His age is 2 years less than 5 times the age of billy Gump. How old is Billy?
AveGali [126]

5x -2  =  63

<u>     +2 = +2 (add 2 to both sides)</u>

<u>5x       = 65  (your equation)</u>

5              5 (divide both sides by 5)

x        = 13

Billy is 13 years old.

(check: 13 x 5 - 2 = 63

6 0
3 years ago
Find the distance between (5, -1) and<br> (-3,0).<br> Give your answer correct to 1 decimal
tankabanditka [31]

√65Explanation:(−5,1)=x1,y1(3,0)=x2,y2The distance is calculated using formula:'Distance =√(x2−x1)2+(y2−y1)2=√(3−(−5))2+(0−1)2=√(3+5)2+(−1)2=√(8)2+(−1)2=√(64+1)Distance =√65

3 0
2 years ago
Answer the question please ​
givi [52]

Answer:

  (d)  108°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. Conversely, the arc is twice the measure of the inscribed angle it subtends.

__

<h3>using the relation</h3>

We can define the vertex of the marked angle as point Q. Arc XY is twice the measure of inscribed angle XQY:

  arc XY = 2(54°) = 108°

5 0
2 years ago
Can someone please help me with this... Please help me with the A part and the B part!!!!
Bezzdna [24]

Answer:

a is 30 and 120

Step-by-step explanation:

6 0
4 years ago
Other questions:
  • A pizza is divided into twelve equal slices. Glenn and Ben each ate 1/6 of the pizza on Monday. The next day Ben ate 1/2 of the
    11·1 answer
  • dan and cheryl paddled their canoe 40 mi in 5 hr with the current and 16 mi in 8 hr against the current. Find the speed of the c
    5·1 answer
  • 52:PLEASE HELP Find the slope of the line that passes through the points (8,2) and (9,7)
    10·2 answers
  • In the pet show, 3/5 of the pets are dogs. Of the dogs, 2/5 has long hair. What fraction of the pets are dogs with long hair?
    12·1 answer
  • A farmer divides a rectangular piece of land with a perimeter of 140 yards into two triangular parts as shown in the diagram. If
    11·2 answers
  • What’s the degree of this expression?
    15·1 answer
  • claire makes bracelets using blue and red beads. each bracelet has 20 red beads and 5 blue beads. write an ordered pair to repre
    9·1 answer
  • Select all zeros of the function (x)=(x+10)(x-5) (x+1)
    8·1 answer
  • A car can travel 580 miles on a full tank of gas. With four new eco-tyres it
    5·1 answer
  • 5b+ 11 = 26<br> Can you help me solve this equation
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!