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
makkiz [27]
3 years ago
7

Write in simplest form:

tle="\sqrt[3]{24a^{10}b^{6}}" alt="\sqrt[3]{24a^{10}b^{6}}" align="absmiddle" class="latex-formula">

Please explain :D
Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

2a^3b^2\sqrt[3]{3a}

Step-by-step explanation:

Use the following rules for exponents:

a^m*a^n=a^{m+n}\\\\\sqrt[3]{x^3}=x

Simplify 24. Find two factors of 24, one of which should be a perfect cube:

8*3=24\\\\2^3=8

Insert:

\sqrt[3]{2^3*3a^{10}b^6}

Now split the exponents. Split 10 into as many 3's as possible:

10=3+3+3+1

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^6}

Split 6 into as many 3's as possible:

6=3+3

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^3*b^3}

Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):

2\sqrt[3]{3*a^3*a^3*a^3*a^1*b^3*b^3}\\\\\\2*a*a*a\sqrt[3]{3*a^1*b^3*b^3}\\\\\\2*a*a*a*b*b\sqrt[3]{3*a^1}

Simplify:

2a^3b^2\sqrt[3]{3a}

:Done

You might be interested in
A turtle walked in a straight line from 1:23 p.m. to 6:23 p.m. each hour, the turtle traveled four-fifths if a kilometer. How fa
liq [111]
Four Kilometers for the turtle
3 0
3 years ago
Pls help ksp :D thanks!
Gnoma [55]
I think it's the second answer

Hope this helps :)
3 0
3 years ago
Solve for the solution: (x-4)^2-4=0
kondor19780726 [428]

Step-by-step Explanation:

x=6,x=2

5 0
2 years ago
Gabriel has 15 5/8 pounds of clay. He will use 7/10 pound to make each bowl. After making 8 bowls he wonders how many more bowls
evablogger [386]
7/10 x 8 = 5 6/10
15 5/8 - 5 6/10 = 10 1/40
10 1/40 / 7/10 = 14 9/28
so he can make 14 more bowls and 9/28 of another bowl so you round down to 14 complete bowls.
 
8 0
2 years ago
Read 2 more answers
The points -13 and 6 are plotted on a number line. What is the distance, in units, between the two points?
joja [24]

19 units

Use the absolute value to find the difference between the values. This ensures that no matter which way round the calculation is done the result is the same

| - 13 - 6 | = | - 19 | = 19

or

| 6 - (- 13) | = | 6 + 13 | = | 19 | = 19


8 0
3 years ago
Other questions:
  • This graph shows how the length of time a canoe is rented is related to the rental cost . What is the rate of change shown in th
    8·2 answers
  • 2. Seven more than the quotient of a number and -2 is 6.<br> What is the answer
    14·2 answers
  • What does 4.23×9 equal
    10·2 answers
  • -6.25x&gt;-38 3/4<br> solve the inequality
    12·1 answer
  • Help! Give me the answer. I'll give the BRAINLIEST
    10·1 answer
  • Please help!!!!!!! Which of the following options is an equivalent function to f(x)=3(2)^3x
    15·2 answers
  • How many quarter hours are in 5 hours
    14·1 answer
  • Given:angleONL congruent to angleMLN, angleO and angleM are right angles.
    14·1 answer
  • Solve for m and b <br><br>(5,14) and (3,10)​
    9·1 answer
  • I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!<br> x/4 &lt; −1.5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!