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
kompoz [17]
3 years ago
6

Simplify radical using the exponent rule. Show work

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

\frac{1}{x^{4} }

Step-by-step explanation:

(\sqrt[3]{x^{2} } × \sqrt[6]{x^{4}})⁻³

\sqrt[3]{x^{2} } is the same thing as x^{\frac{2}{3} }

you can think of the numerator as the power and the denominator as the root

rewrite both terms:

(x^{\frac{2}{3} } × x^{\frac{4}{6} })⁻³

simplify the 4/6:

(x^{\frac{2}{3} } × x^{\frac{2}{3} })⁻³

bases are the same, add the exponents:

(x^{\frac{4}{3} })⁻³

multiply the exponents:

x^{\frac{-12}{3} }

simplify:

x⁻⁴

negative power rule:

\frac{1}{x^{4} }

You might be interested in
Caiden wants to use the distributive property to find the value of 28⋅19+28⋅6528·19+28·65. Which expression can he use?
MakcuM [25]
28 times 28 times (19+65)

4 0
3 years ago
Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
Plz help I beg I will give <br> Brian list and points
just olya [345]
The probability is 4 out of 14
6 0
2 years ago
Read 2 more answers
Please help!!! (With one or all the problems, anything is greatly appreciated if you understand probability)
professor190 [17]
Here are the answers to problem 1..

a) 11

b) 5/36

c) 25 Times because 7 has a probability of 16.667%

d) 25 Times because 10, 11, and 12 have a probability sum of 16.667% ironically...

Hope this helps. :)
6 0
3 years ago
Solve for Q<br> Q/B + A = Y
Otrada [13]
What are the numbers that are supposed to be plugged in?

6 0
3 years ago
Other questions:
  • if the sum of twice a number and - 7 is increased by 8 the result is 16 greater than the opposite of the number. What is the num
    11·1 answer
  • Divide. (3 3/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.
    9·2 answers
  • Is √10 in simplest form?
    14·1 answer
  • Three times the sum of a number and seven is two less than five times the number. . a. 3x+7=5x-2. b. 3(x+7)=5x-2. c. 3(x+7)=2-5x
    5·1 answer
  • In the figure to the right, if AC=12 and BC=9, what’s the radius?
    12·2 answers
  • Western Bank notifies Jamie that she has been pre-approved for a Western Bank premier credit card. Jamie fills out the applicati
    9·1 answer
  • 1
    14·1 answer
  • Vince starts with 0 then adds the number 3 times..Jen starts with 1 then multiples the number 10 three time
    10·2 answers
  • What is decimal and percent for 3/1000
    6·2 answers
  • Please help with this question p
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!