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Pie
2 years ago
15

Which of the following choices are equivalent to the expression below? check all that apply

Mathematics
1 answer:
Naddika [18.5K]2 years ago
3 0

The choices are equivalent to the expression correct choices are A, C, and D.

The given expression is

x^3 /5

<h3>What is the expression?</h3>

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

<h3>What is the power rule?</h3>

a^{\frac{m}{n} =\sqrt[n]{a^m}

Therefore the above power rule implies that,

x^{(\frac{3}{5}) }=\sqrt[5]{x^3}

Also, we have the power rule

(a^m)}^n=a^{mn}

x^{\frac{3}5} =(x^3)^{\frac{1}{5}

or it can be written as

x^{\frac{3}{5} =(\sqrt[5]{x})^3

The correct choices are A, C, D.

To learn more about the expression visit:

brainly.com/question/723406

#SPJ1

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write the restrictions that should be imposed on the variable for each of the following function. then find, explicitly, the dom
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By using the rules that the value inside square root can’t be negative and the denominator value can’t be zero, the domain for the given function is a) x<-1 and x>1  b) p≤1/2  c) s>-1.

I found the complete question on Chegg, here is the full question:

Write the restrictions that should be imposed on the variable for each of the following function. Then find, explicitly, the domain for each function and write it in the interval notation a) f(x)=(x-2)/(x-1)  b) g(p)=√(1-2p)  c) m(s)= (s^2+4s+4)/√(s+1)

Ans. We know that a number is not divisible by zero and number inside a square root can not be negative. In both the cases the outcome will be imaginary.

a) For this case the denominator x-1 can not be zero. So, x ≠1 and the domain is x<-1 and x>1.

b) For this case the value inside square root can’t be negative. So, p can’t be greater than 1/2 the domain is p≤1/2.

c) For this case also the value inside square root can’t be negative and the denominator value can’t be zero. So, s can’t equal or less than -1 and domain is s>-1.

Learn more about square root here:

brainly.com/question/3120622

#SPJ4

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2 years ago
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