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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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hichkok12 [17]

Answer: \dfrac{dT(t)}{dt}=77\times (450-T)

Step-by-step explanation:

Given

The temperature of the liquid is 75^{\circ}F placed in an oven with temperature of 450^{\circ}F.

Initially difference in temperature of the two

\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F

According to the question

\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]

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38

Step-by-step explanation:

I=Hope I helped if so can I please have brainliest :)

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2⁶ x⁹ y¹⁰ z/4³ x³ y¹⁰ z​
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Answer:

2

Step-by-step explanation:

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A=444 b=213. 4÷a×b= can you help me plz
Lelechka [254]
First, let's input "a" and "b" into the equation:
(Don't forget to put brackets around the inputted numbers to show you are inputting "a" and "b")

<span>4 ÷ a × b = </span>4 ÷ (444) x (213)

Now we can solve!
 
               = 1.918
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Hope this helps!
Feel free to message me if you have any questions :)
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A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
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The 0.7 gives the next height of each bounce 
For example say first bounce was 7 ft then next bounce will be t*0.7 = 4.9 ft
Then next boune will be 7*(0.7)^2  and so on.  
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