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hichkok12 [17]
4 years ago
12

1+1^22+9^1=? Please help!

Mathematics
2 answers:
german4 years ago
8 0

1+1^22+9^1=?

1^22 = 1

9^1 =9

1 + 1 + 9

11

ratelena [41]4 years ago
5 0

1 + 1^{22} + 9^{1} = ?

So solving math problems, always use PEMDAS

PEMDAS is the Order of Operations

It stands for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

An easy way to remember PEMDAS is Please Excuse My Dear Aunt Sally

So, in this problem, since there are no Parenthesis (), you got to Exponents.

1^{22} is equal to 1 because all you do is multiply 1 by itself 22 times

9^{1} is equal to 9 because all you do is multiply 9 by 1, in other words, you dont do anything to it

So, 1 + 1 + 9 = 11

Your answer is 11

Hope this helps

-GoldenWolfX

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vodomira [7]

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers. The expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Given information-

The given expression in the problem is,

[(r)^{-7}]^5

<h3>Power rule of exponents</h3>

Power rule of exponents says that the power of the power of a exponent is equal to the multiplying both the powers.

Suppose<em> </em><em>x</em> is a number with power <em>a. </em>The power is power of the power of number <em>x. </em>Then by the power rule of the exponents,

(x^a)^b=x^{ab}

Using the power rule of the exponents given expression can be written as,

[(r)^{-7}]^6=(r)^{-7\times 6} &#10;

[(r)^{-7}]^6=(r)^{-42}

<h3>Negative exponents rule</h3>

Negative exponents rule says that when a power of a number is negative, then write the number in the denominator with the same power with positive sign.Thus,

[(r)^{-7}]^6=\dfrac{1}{(r)^{42}}

Hence the expression which is equal to the given expression is,

\dfrac{1}{(r)^{42}}

The option B is the correct option.

Learn more about the power rule of exponents here;

brainly.com/question/819893

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your state charges 10 % of gas tax gas.cpst 2.50 per gallon if you get 6 gallons how.much will your total be
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Answer:

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first random sample size n₁ = 500</em>

Given  Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

<em>First sample proportion </em>

<em>                              </em>p^{-} _{1} = \frac{65}{500} = 0.13

<em>Given second sample size n₂ = 700</em>

<em>Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.</em>

<em>second sample proportion </em>

<em>                              </em>p^{-} _{2} = \frac{133}{700} = 0.19

<em>Level of significance = α = 0.05</em>

<em>critical value = 1.96</em>

<u><em>Step(ii)</em></u><em>:-</em>

<em>Null hypothesis : H₀: There  is no significance difference between these proportions</em>

<em>Alternative Hypothesis :H₁: There  is significance difference between these proportions</em>

<em>Test statistic </em>

<em></em>Z = \frac{p_{1} ^{-}-p^{-} _{2}  }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<em></em>

<em>where </em>

<em>         </em>P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2}  }{n_{1}+ n_{2}  } = \frac{500 X 0.13+700 X0.19  }{500 + 700 } = 0.165<em></em>

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<em>Z =  -2.76</em>

<em>|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is rejected at 0.05 level of significance</em>

<em>Alternative hypothesis is accepted at 0.05 level of significance</em>

<u><em>Conclusion:</em></u><em>-</em>

<em>There is there is a difference between these proportions at α = 0.05</em>

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