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Artyom0805 [142]
2 years ago
8

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

Mathematics
1 answer:
ra1l [238]2 years ago
6 0

The expression will be written as \rm \sqrt[8]{2^5}., the correct option is A.

<h3>What are Exponents?</h3>

Exponents are the base raised to a power, It is written in the superscript of a number.

The expression given in the statement can be written as

\rm \dfrac{ 2^{7/8}}{2^{1/4}}

By the Exponent rule,

\rm \dfrac{a^m}{a^n} = a^{m-n}

So the expression can be written as

<h3>=\rm { 2^{7/8-1/4}</h3>

=\rm 2^{5/8}

=\rm \sqrt[8]{2^5}

Therefore, in radical form, the expression will be written as \rm \sqrt[8]{2^5}., the correct option is A.

The complete question is

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power

To know more about Exponents

brainly.com/question/5497425

#SPJ2

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What is f(–3) for f(x) = 2x2 – x + 5?<br> A) 11 <br> B) 17 <br> C) 20 <br> D) 26
nirvana33 [79]

Answer: D

<u>Step-by-step explanation:</u>

f(x) = 2x² - x + 5

f(-3) = 2(-3)² - (-3) + 5

      = 2(9) + 3 + 5

      = 18 + 3 + 5

      = 26

6 0
3 years ago
Cos^2 2x−cos^2 6x=sin4x sin8x<br> please help me prove it
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Cos² 2x = (1+cos 4x )/2
cos² 6x  = (1+cos 12x)/2
subtract to get  1/2 (cos 4x - cos 12x )   
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so the answer
4 0
3 years ago
-6.25x + 262.5 = 250
ZanzabumX [31]

Answer:

X=2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Look at the system of equations below<br> Sy= -2x +3<br> 1 4x – 3y = 11
kompoz [17]

Answer:

(2,-1)

y= -1

x= 2

Step-by-step explanation:

y= -2x+3

4x-3y=11

substitute the value of y into an equation

4x-3(-2x+3)=11

distribute by multiplying numbers in parenthesis by -3

4x+6x-9=11

add 4x to 6x

10x-9=11

add 9 from both sides

10x=20

divide both sides by 10

x=2

substitute the value of x into an equation

y= -2•2+3

multiply -2 to 2

y= -4+3

add -4 to 3 but 4 is negative, so subtract

y= -1

-----------

(2,-1)

-----------

3 0
3 years ago
A store originally purchased a refrigerator at a cost of $650.20 and marked it up 50%. After a few weeks, however, the store dis
Murrr4er [49]

Answer:

Step-by-step explanation:

Step one:

the original price of refrigerator =  $650.20

the markup/raise is 50%

the new price after the raise is

= 50/100*650.20

=0.5* 650.20

=325.1

The raise is by $325.1

The new price is $325.1+ $650.20=$975.3

Step two:

there was a discount of 70%

so =(70/100)*975.3

=0.7*975.3

=682.71

The discounted price is $682.71

The new price is 975.3-682.71

=$292.59

7 0
3 years ago
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