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3 years ago

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x?

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Solving RootIndex 3 StartRoot 8 EndRoot Superscript x we get $=2^x$

Step-by-step explanation:

We need to find equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x

Writing in mathematical form:

$(\sqrt[3]{8})^x$

Solving:

We know 8= 2x2x2= 2^3

and $\sqrt[3]{x}=x^{\frac{1}{3}}$

Applying these rules:

$=((2^3)^{\frac{1}{3}})^x$

$=(2^{\frac{3}{3}})^x\\$

$=2^x$

So, solving RootIndex 3 StartRoot 8 EndRoot Superscript x we get $=2^x$

Keywords: Radical Expression

Learn more about Radical Expression at:

#learnwithBrainly

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iragen [17]

Answer:

Step-by-step explanation:

20^2+21^2=841

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3 years ago

Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4. a.176 b.180 c.215 d.216

Tom [10]

The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
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Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × $2^{6}$ + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - $2^{6}$ )
Collect the like terms with a base of 2.
2( $2^{6}$ + 3 × 2³)
Evaluate the power of 2³.
2( $2^{6}$ + 3 × 8)
Evaluate the power of $2^{6}$ .
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
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Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)

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3 years ago

Choose the symbol that completes the statement

asambeis [7]

The correct choice is b

4 0

3 years ago

Read 2 more answers

Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78% of the album is empty, how many pages ar

laila [671]

Answer: 22% of the pages are filled up

Step-by-step explanation: 900/9= 100 78% of 100 is 78

22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.

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3 years ago

The distance between the point (2,1,1) and the plane x-2y=5 is

Eduardwww [97]

The given plane has normal vector

$x-2y=5\implies\mathbf n=\langle1,-2,0\rangle$

Scaling n by a real number t gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation

$\mathbf r(t)=\langle1,-2,0\rangle t+\langle2,1,1\rangle=\langle 2+t, 1-2t, 1\rangle$

This line passes through (2, 1, 1) when t = 0, and the line intersects with the plane when

$x-2y=5\implies(2+t)-2(1-2t)=5\implies5t=5\implies t=1$

which corresponds the point (3, -1, 1) (simply plug t = 1 into the coordinates of $\mathbf r(t)$ ).

So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):

$\sqrt{(2-3)^2+(1-(-1))^2+(1-1)^2}=\boxed{\sqrt5}$

7 0

4 years ago