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
Archy [21]
3 years ago
15

Please simplify this please it’s due really soon!

Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Step-by-step explanation:

\frac{ {13}^{6}  \div  {13}^{8}  \times  {13}^{ - 4} }{ {13}^{ - 2} }

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.

If you multiply two powers with the same base, the result will be the base to the sum of the powers.

If you divide two powers with the same base, the result will be the base to the difference of the powers.

In your case you will this:

{13}^{6 - 8 + ( - 4) - ( - 2)}

That is:

{13}^{ - 4}

Or:

\frac{1}{ {13}^{4} }

You might be interested in
Starting in the 1970s, medical technology allowed babies with very low birth weight (VLBW, less than 1500 grams, about 3.3 pound
cluponka [151]

Answer:

The test statistic value using the VLBW babies as group 1 is z=-2.76±0.01 and the P-value for the test (±0.0001) is 0.0030.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (VLBW group), of size n1=244 has a proportion of p1=0.77049.

p_1=X_1/n_1=188/244=0.77049

The sample 2 (control group), of size n2=247 has a proportion of p2=0.79757.

p_2=X_2/n_2=197/247=0.79757

The difference between proportions is (p1-p2)=-0.02708.

p_d=p_1-p_2=0.77049-0.79757=-0.02708

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{188+197}{244+247}=\dfrac{385}{491}=0.988

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.988*0.012}{244}+\dfrac{0.988*0.012}{247}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00005}=\sqrt{0.0001}=0.0098

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.02708-0}{0.0098}=\dfrac{-0.02708}{0.0098}=-2.76

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(t

As the P-value (0.0030) is smaller than the significance level (0.05), the effect issignificant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

3 0
3 years ago
Solve the equation −96=3(8x)^(5/3).
vladimir2022 [97]

Answer:

x= - 1

Step-by-step explanation:

5 0
3 years ago
How to solve the math equation
ddd [48]
A) 6u+3u+4-15= (9u-11) <---answer ;) B)-1-2u-9-(-5u)=(3u-10)<--answer C) 7u+25+(-10u)-16= (-3u+9)<--answeeer
6 0
3 years ago
Can someone please help
Nonamiya [84]

Answer:

Step-by-step explanation: do what it says go to a supermarket lol

3 0
3 years ago
Steve kicks a football into the air. The path that a ball takes can be described by the equation h=20t - 5t squared where h is t
FinnZ [79.3K]
Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.

Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0

\frac{4 +- \sqrt{16 - 20}}{2}

Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.

4 0
2 years ago
Other questions:
  • The formula i = prt gives a simple interest \ earned on an account where the amount is p is deposited at an interest rate r for
    7·1 answer
  • PLEASE HELP 15 POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Roy borrows $42,000 to purchase a new truck. How much will Roy need to pay in all if the interest is compounded annually at 3.5%
    14·1 answer
  • How do you figure out the ratio stars to squares when there are 11 squares 5 stars and two circles in the data?
    9·1 answer
  • Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect?
    10·2 answers
  • Use tools when using fraction strips how do you know that two fractions are equivalent
    14·1 answer
  • For each of the following​ scenarios, say whether the data should be treated as independent or paired samples. Explain briefly.
    7·1 answer
  • Which property of addition is used in the following (5+12)+6=5+(12+6)
    14·1 answer
  • Mario tiene un comercial tecnológico, vende una cámara web HD con una ganancia del 18% sobre el precio de costo. El compró la cá
    7·1 answer
  • during hurricane hermine a river ended up 6 feet above normal. since the rain has stopped the lakes depth is decreasing using th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!