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2 years ago

Evaluate the expression. Write your answer as a fraction in simplest form. Thank you so much!

Mathematics

1 answer:

ziro4ka [17]2 years ago

7 0

Answer:

$\frac{1}{27}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ with n > m

= $\frac{1}{a^{(n-m)} }$ , thus

$\frac{3^{5} }{3^{8} }$ = $\frac{1}{3^{(8-5)} }$ = $\frac{1}{3^{3} }$ = $\frac{1}{27}$

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The diameter of Mercury is approximately 4.9×10^3 kilometers. The diameter of Earth is approximately 1.3×10^4 kilometers. About

JulijaS [17]

$\text {Number of times = } \dfrac{1.3 \times 10^4}{4.9 \times 10^3 }$

$\text {Number of times = } \dfrac{1.3}{4.9} \times 10^{4-3}$

$\text {Number of times = } 0.27 \times 10$

$\text {Number of times = } 2.7$

5 0

3 years ago

The ratio of small dogs to big dogs at the park is 1:3. Which does not represent this ratio?

Karolina [17]

Answer:

C.2:4

Step-by-step explanation:

1*2=2

3*2=6

2:6=2:4

not true so it is C.

5 0

2 years ago

Read 2 more answers

A machine paints 34o toy boats im 3/4 of an hour how many boats can he make per hour

leonid [27]

Here, we can set up a proportion:

34 ÷ 3/4 = ? ÷ 1
34*1 = 34
34÷3/4 = the time needed to build one toyboat

34/3/4 = 45.3333333333

45.3 repeating is not a whole number, so we need to approximate.

45 is the closest whole number,

So.. a machine can paint 45 toy boats per hour.

I really hope that helped! :)

7 0

2 years ago

A scale distance of 3 centimeters on a map represents an actual distance of 51 feet.

Rom4ik [11]

In this case, the best way to work this out is to find what 1cm is equal to. In this case, you have to divide 51/3, giving you 17. You know that 17 feet. You can now divide 187/17, giving you 11. Therefore, 11cm is equal to 187 feet. Hope this helps

8 0

3 years ago

Read 2 more answers

The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, an

tigry1 [53]

Answer:

600<2570-125.5x<2000 subtract 2570 from all terms...

-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)

7.73>x>4.54 and x is months since January, and since months can only be integers...

x=[5,7]

So January + 5, 6, and 7 respectively are the three months that satisfy the equation...

June, July, and August.

Step-by-step explanation:

6 0

2 years ago