1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
max2010maxim [7]
3 years ago
8

HELP PLEASE i dont understand at all...

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

An exponent signifies repeated multiplication.

x\cdot x\cdot x=x^{3}  the factor x is repeated 3 times

Exponents can be added and subtracted to express the effects of multiplication and division.

\dfrac{x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=\dfrac{x^{5}}{x^{3}}\\\\=\dfrac{x\cdot x\cdot x}{x\cdot x\cdot x}\cdot x\cdot x=x\cdot x\\\\=x^{(5-3)}=x^{2}

The addition and subtraction of exponents works the same even when there are more denominator factors than numerator factors.

\dfrac{x\cdot x\cdot x}{x\cdot x\cdot x\cdot x\cdot x}=\dfrac{x^{3}}{x^{5}}=\dfrac{1}{x^{2}}\\\\=x^{(3-5)}=x^{-2}

That is, a negative numerator exponent is the same as a positive denominator exponent and vice versa. You can move a factor with an exponent from denominator to numerator and change the sign of the exponent, and vice versa.

Your expression has 3 in the denominator with a negative exponent. It can be moved to the numerator and the exponent changed to positive:

\dfrac{1}{3^{-2}}=3^{2}\\\\=3\cdot 3=\bf{9}

You might be interested in
If y varies directly with X and y =10 and X=4 write the direct linear variation equation .
rosijanka [135]
Y= kx   (k being a constant)
10= k × 4     k=5/2

y= 5x/2    The answer is C.
7 0
3 years ago
A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul
scoray [572]

Answer:

The 95% confidence interval for those opposed is: (0.298, 0.334).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

1786 of the 2611 were in favor, so 2611 - 1786 = 825 were opposed. Then

n = 2611, \pi = \frac{825}{2611} = 0.316

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 - 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.298

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.316 + 1.96\sqrt{\frac{0.316*0.684}{2611}} = 0.334

The 95% confidence interval for those opposed is: (0.298, 0.334).

4 0
3 years ago
Elephant<br> A. 30 kilograms<br> B. 90 grams<br> C. 5,000 grams<br> D. 5,000 kilograms
Mariulka [41]
Pretty sure it’s d. 5,000 kilograms
7 0
2 years ago
Read 2 more answers
1. Si Luisa come más torta que Cris, María come más torta que Cris y menos que Rosa, pero ella come más que Luisa. ¿Cuál de ella
shusha [124]
Cris come menos pastel
4 0
2 years ago
Need the answer !!?’
Murrr4er [49]

....the answer is <CBA.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Name 4 units of length in the customary measurement system
    14·2 answers
  • Audrey needs to cut 1 meter of yellow ribbon and 28 centimeters of blue ribbon. In total, how many centimeters of ribbon does sh
    6·1 answer
  • Alex wrote the equation C= 2n describe a situation that this equation could represent
    15·1 answer
  • URGENT!
    11·1 answer
  • PLEASE HURRY
    15·1 answer
  • Please hurry up and help me thanks
    10·1 answer
  • What is an equation of the line that passes through the poin (-4,3) and is parallel that line 4x-5y=20
    9·2 answers
  • Amy glued purple ribbon around the edge of her circular mirror she used 63 inches of ribbon this was just enough to go once arou
    7·2 answers
  • The circle shown has a radius of 4 cm.
    10·1 answer
  • Given cos theta=4sqrt2/7 find sin theta
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!