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
matrenka [14]
3 years ago
15

Which expression is equivalent to (x^4/3 x^2/3)^1/3?

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Answer: x^{\frac{2}{3} }

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

(x^{a})(x^{b}) = x^{a + b} <em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>

(x^{a})^{b} = x^{(a)(b)} <em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>

<em />

Let's apply it!

First, let's simplify what's inside the parenthesis.

x^{\frac{4}{3} } x^{\frac{2}{3} } <em>(Remember, they have the same base of "x", so we can add the exponents)</em>

x^{\frac{4}{3} + \frac{2}{3} } = x^{\frac{6}{3} } = x^{2}

Now we have (x^{2})^{\frac{1}{3} }. Let's use the second rule.

(x^{2})^{\frac{1}{3} } = x^{\frac{2}{3} }

Hope this helps! :^)

You might be interested in
There are 5000 sweets 24% blue 5% green 17% red rest are orange find percentage of orange
ss7ja [257]

Answer: 54%

Step-by-step explanation:

24+17+5=46

100-46=54

5 0
3 years ago
Expanded form for 48,243. (
Dima020 [189]
(4*10,000)+(8*1,000)+(2*100)+(4*10)+(3*1)

40,000+8,000+200+40+3=48,243

That is one way. You can also do this using exponential form!

Hope that helps

4 0
3 years ago
3.2g of sugar is needed to make 8 cakes. How much sugar is needed for 12 cakes?
4vir4ik [10]

3.2s:8c

4.8s:12c

Therefore, you would need 4.8g of sugar to make 12 cakes. This was solved by using ratios.

8 0
3 years ago
Read 2 more answers
Approximately how much money would Manny have if he invested $1,200 at an interest rate
quester [9]

Answer:

$1,701.64

Step-by-step explanation:

(see attached for reference)

recall that for compound interest, the following formula applies:

A = P [1 + (r/n) ] ^ (nt), where

A = final amount (we are asked to find this)

P = Principal amount = $1,200

r = interest rate = 5% = 0.05

t = 7 years

n = 12

Substituting these into the equation,

A = 1200 [1 + (0.05/12) ] ^ [(12)(7)]

A =  $1,701.64

6 0
3 years ago
The value of w???????
goldenfox [79]

Answer:

Step-by-step explanation:

The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:

\frac{15}{18}=\frac{w}{30} and cross multiply.

18w = 450 so

w = 25

4 0
3 years ago
Other questions:
  • Which equation shows the distance y Sara rode if she rode for 5 miles and then started timing her riding at 7 miles per hour, wh
    6·2 answers
  • I need the answer in a fraction if possible
    15·1 answer
  • 4.2x -1.4y = 2.1 solve for y
    11·3 answers
  • Write 1,386 as the product of it prim fa
    6·1 answer
  • Complete each ordered pair so that it is a solution of the given linear equation. x minus 5 y equals negative 3​; left parenthes
    8·1 answer
  • Rewrite the product as a power: <br><br><br> (pls show work)
    12·2 answers
  • Shortest distance to the origin y=1/2x^2 -4
    5·1 answer
  • At a rodeo full with cowboys and horses someone counted 26 legs and 9 heads how many cowboys and horses were at the rodeo
    8·1 answer
  • Help pleaseeeeee<br><br> 4x (-3/8)=
    15·1 answer
  • Find the Simple Intrest on<br> #60,000.00 for 3 years at<br> 5% per annum
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!