All categories

2 years ago

Rewrite each expression as a product of two or quotient of two powers

Mathematics

1 answer:

Paul [167]2 years ago

6 0

Answer:

The product is $5^{40}*3^{70}$

Step-by-step explanation:

To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:

$(\frac{5^8*3^7}{5^4})^{10}\\(\frac{5^8}{5^4}*3^7)^{10}\\(5^4*3^7)^{10}\\5^{40}*3^{70}$

You might be interested in

Help me please,Thanks

Ann [662]

The answer is 24m^2 i just finished that test and that was the answer.<span />

4 0

2 years ago

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso

Step2247 [10]

Answer:

the probability is 0.1143

Step-by-step explanation:

here are the details from the question you asked

number of people = 6

nuber of weapons = 6

number of rooms = 9

after narrowing it down to

3 people,3 weapons, and 6 rooms

= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂

= 20 * 20 * 84 / 293930

= 33600/293930

= 0.1143

<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>

7 0

2 years ago

The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard devi

ivann1987 [24]

Since the range of the scores given was between 300 and 700 (which is 2 standard deviations below and above the mean), the probability that a randomly selected student's math score - as based on the empirical rule of statistics - is 95%. In decimal form, it is .95.

6 0

1 year ago

Read 2 more answers

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.

ZanzabumX [31]

Answer:

a) 22.94 psi

b) $5.93\times10^{-5}$

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

$f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}$

where x = 22.94, $\mu = 31, \sigma = 2$

$f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}$

$f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}$

6 0

2 years ago

Lori purchases a new set of watercolor paints and some canvases to create art for her next exhibit. The watercolor paint set cos

horrorfan [7]

Starting with the paints, we have 15$ as our base value. Next, since we add $24.50 for each new canvas bought, 24.5*x=the amount of money for x canvases. Therefore, since 15 is our base value, we have 15+24.5*6=162

7 0

2 years ago

Read 2 more answers

Rewrite each expression as a product of two or quotient of two powers ​

Rewrite each expression as a product of two or quotient of two powers