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
Vaselesa [24]
3 years ago
14

How to change from expo to radical form

Mathematics
2 answers:
Natalka [10]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

If the exponent is a/b  then a is the power and b is the value of the radical.

Example:   x^2/3  =   ∛x².    2 is the power and 3 is the radical.

Answers:

1)  7^2/3 =  ∛7²

5)  √3 = 3^1/2

9)  (∛27)⁴ = 27^4/3 =  3^4 = 81.

marysya [2.9K]3 years ago
4 0

This one is easy if you remember that

\sqrt{5}  =  {5}^{ \frac{1}{2} } \\    \sqrt[3]{5}  =  {5}^{ \frac{1}{3} } \\  \sqrt[4]{5}  =  {5}^{ \frac{1}{4} } \\  \sqrt[5]{5}  =  {5}^{ \frac{1}{5} }

It keeps going. The bottom number in an exponential is the one on the outside of the radical.

To remember this:

The top number in the exponential is top dog, he get to go inside the radical.

The bottom number is not top dog, so he has to be outside the radical.

\sqrt[3]{{5}^{7} }  =  {5}^{ \frac{7}{5} } \\  \sqrt[9]{{5}^{4} }  =  {5}^{ \frac{4}{9} }

So for problem 4)

{(32x)}^{ \frac{1}{2} }  =  \sqrt{32x}

Because 1/2 is the expo form of a normal square root radical.

Problem 3)

{(2x)}^{ \frac{5}{6} }  =  \sqrt[6]{ {2x}^{ 5 } }

I should say

\sqrt{5}  =  \sqrt[2]{5}

However, the 2 is Normally never stated. You only plave a number on the front of the radical if it is larger than 2. Normally.

Additionally: it technically looks like this, but both the 2 and the 1 are not normally written. Because 5^1 = 5

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

Remember on your expo to radical, if its

{(\sqrt[3]{5} )}^{ \frac{8}{6} }  =  {5}^{ \frac{1}{3}  \times  \frac{8}{6} }  =  {5}^{ \frac{4}{9} }  =  \sqrt[9]{ {5}^{4} }

Because when you have an exponant raised to an exponant with the same base number, just multiply them and keep the base, like the above example.

If you have more questions, let me know.

You might be interested in
If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)​
Elenna [48]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Explain why the function is discontinuous at the given number
Novosadov [1.4K]

Answer:

  left limit = 2 ≠ 1/2 = right limit

Step-by-step explanation:

A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.

Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.

7 0
3 years ago
Slips of paper numbered 1 to 15 are placed in a box. A slip of paper is drawn at random. What is the probability that the number
monitta

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{9}{15}

\text{Probability}=\dfrac{3}{5}

\text{Probability}=0.6

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

8 0
3 years ago
The lateral area of a cone is 400 pi cm squared. The radius is 10 cm. Find the slant height to the nearest tenth.
Ilia_Sergeevich [38]

Answer:

Option A. 40\ cm

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

LA=\pi rl

we have

LA=400\pi \ cm^{2}

r=10\ cm

substitute and solve for l (slant height)

400\pi=\pi (10)l

simplify

400=(10)l

l=400/10=40\ cm

8 0
3 years ago
What is the capital of Indian<br>Koi be online ​
Ymorist [56]
New Delhi
.
.
.
.
Is the anser
4 0
3 years ago
Other questions:
  • you ride your bike around the neighborhood block eight times a day after school. The distance around the neighborhood block is 3
    10·1 answer
  • In Exercise, find the derivative of the function.<br> y = 7ex+2 + 2x
    14·1 answer
  • Please help! i dont understand this.
    6·2 answers
  • for the following questions, determine how many solutions each equation has. if one solution, state the value of x. x+6+8=2x-x+1
    9·1 answer
  • Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find theprobability that m
    15·1 answer
  • Help please asap tysm! 10 brainly points! Will mark brainliest if you put in a random answer you will be reported! Tysm! &lt;3 N
    15·1 answer
  • Jim is 4 years older than his brother Bob. In two years, Jim will be twice Bob's age. How old are they now?
    7·1 answer
  • The edges of a box are 4 cm, 6 cm and 8 cm. Find the length
    12·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST
    14·1 answer
  • Hi, need help please to get my HS diploma...did not graduate :(
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!