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4 years ago

Please tell me how do you simplify the expression???? x^15 · y^9 over x^8 · y^3

Mathematics

1 answer:

anyanavicka [17]4 years ago

5 0

Answer:

$x^7 * y^6$

Step-by-step explanation:

In the equation: $\frac{x^{15} * y^9 }{x^8 * y^3}$

x's can be simplified and y's can be simplified!

Always remember that for exponents, you subtract the powers when dividing

so for x: 15-8 = 7

for y: 9-3 = 6

so the final answer is: $x^7 * y^6$

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Can someone help me with this math homework please!

Anna007 [38]

Answer:

- 2 / 7

Step-by-step explanation:

Let,

x1 = 7

x2 = 14

y1 = 2

y2 = 0

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 0 - 2 ) / ( 14 - 7 )

= - 2 / 7

7 0

3 years ago

Read 2 more answers

On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe

Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3>Answer:</h3>

Difference between Mercury's and Neptune's distance from the sun is $4.443 \times 10^9 \text{ km }$

<h3>Solution:</h3>

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = $4.5 \times 10^9 \text{ km }$

To find: Difference between Mercury's and Neptune's distance from the sun

Let us convert distance of mercury from sun to scientific notation

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

Steps to remember:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

$57, 000, 000 = 5.7 \times 10^7$

Therefore,

Distance of mercury from sun = $5.7 \times 10^7 \text{ km }$

Calculating difference between Mercury's and Neptune's distance from the sun:

difference = Distance of Neptune from sun - Distance of mercury from sun

$\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)$

Let us make both powers same

$\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)$

Taking 10 power 9 common we get,

$\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9$

Thus difference between Mercury's and Neptune's distance from the sun is $4.443 \times 10^9 \text{ km }$

3 0

4 years ago

I need the answer to number 2

gladu [14]

Subtract 10 from both sides :
-3y + 10 - 10 = -14 -10
3y = -24
divide both sides with 3 :
y = -8

8 0

3 years ago

4x+y=10 missing value

hoa [83]

Answer:

Step-by-step explanation:

Set each axis to 0

4(0)+y=10

y=10

4x+0=10

divide the equation by 4

x=2.5

if both axis' need to be the same number, they are equal to 2

6 0

3 years ago

Read 2 more answers

Which of the following is the equation of a line given the following

qwelly [4]

Answer:

Step-by-step explanation:

Slope-intercept form is described as y=mx+b, where m = the slope, and b = the y-intercept. Since you are given these two numbers, just plug them into the slope-intercept form. This gives you y=5x-3.

5 0

3 years ago