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Shalnov [3]
3 years ago
12

id="TexFormula1" title="\frac{x^{\frac{5}{6} } }{x^{\frac{1}{6} } }" alt="\frac{x^{\frac{5}{6} } }{x^{\frac{1}{6} } }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

x^2/3

Step-by-step explanation:

(x^5/6)/(x^1/6)=x^(5/6-1/6)=x^4/6

simplify 4/6, you get 2/3.

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A high school track is shaped as a rectangle with a half circle on either side. Jasmine plans on running TWO laps. How many yard
finlep [7]

Answer:

880 yards

Step-by-step explanation:

4 0
2 years ago
What is the value of i^n in if the remainder of n/4 is 2?
LekaFEV [45]

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Further Explanation:

Given:

The remainder of \dfrac{n}{4} is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

\boxed{z = a + ib}

Here, a is the real part of the complex number and \text{ib} is the imaginary part of the complex number.

\sqrt{ - 1} can be denoted by i.

The value of {i^2} is -1.

{i^2} =  - 1

The value {i^3} can be obtained as follows,

\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}

The value {i^4} can be obtained as follows,

\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, i^ n, remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

5 0
2 years ago
Read 2 more answers
What is the coefficient of X^2Y^2 in the expansion of (x+y)^4
nata0808 [166]

Answer:

6

Step-by-step explanation:

We want to expand this; (x + y)⁴

This can be written as;

(x + y)² × (x + y)²

This gives;

(x² + 2xy + y²) × (x² + 2xy + y²)

This gives;

x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

Simplifying gives;

x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴

Thus, the coefficient of x²y² is 6

3 0
2 years ago
Given that 1 in. = 2.54 cm exactly, indicate what conversion factor is appropriate to convert 12.4 in. to centimeters.
Dahasolnce [82]

You are given that 1 inch = 2.54 centimeters, so to convert 12.4 inches to centimeters, you would multiply 12.4 in by 2.54 cm.

4 0
3 years ago
Please help i know it a lot but please
blsea [12.9K]

Answer:

I have no clue

Step-by-step explanation:

I'm in middle school I don't know

6 0
2 years ago
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