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Nina [5.8K]
3 years ago
15

Simplify x ^8/ x ^6 ​

Mathematics
2 answers:
iragen [17]3 years ago
6 0

Answer:

\displaystyle \frac{x^8}{x^6} = x^2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Exponential Property [Dividing]: \displaystyle \frac{b^m}{b^n} = b^{m - n}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle \frac{x^8}{x^6}<em />

<em />

<u>Step 2: Simplify</u>

  1. Exponential Rule [Dividing]:                                                                             \displaystyle \frac{x^8}{x^6} = x^{8 - 6}
  2. [Exponents] Subtract:                                                                                       \displaystyle \frac{x^8}{x^6} = x^{2}
krek1111 [17]3 years ago
3 0

Answer:

it would be 1/x^2

Step-by-step explanation:

Mathaway

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Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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This means that p = 0.7

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This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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b. At least four qualify for the favorable rates

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So

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P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

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