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3 years ago

21 is 7 Times as many as 3. What is the equation?

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

21 = 7 x 3 or 7(3) if you're no longer using x as a multiplication symbol

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4(3x^2y^4)^3 / (2x^3y^5)^4

tatyana61 [14]

Solving the expressions $\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$ we get $\frac{27}{4x^{6}y^{8}}$

Step-by-step explanation:

We need to Solve the expression: $\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

Solving:

$\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$

$=\frac{4(3^3x^6y^{12})}{(2^4x^{12}y^{20})}\\=\frac{4(27x^6y^{12})}{(16x^{12}y^{20})}\\=\frac{108x^6y^{12}}{16x^{12}y^{20}}$

Applying exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$=\frac{108x^{6-12}y^{12-20}}{16}\\=\frac{27x^{-6}y^{-8}}{4}$

Another exponent rule says: $x^{-a}=\frac{1}{x^a}=$

$=\frac{27}{4x^{6}y^{8}}$

So, solving the expressions $\frac{4(3x^2y^4)^3}{(2x^3y^5)^4}$ we get $\frac{27}{4x^{6}y^{8}}$

Keywords: Solving Exponents

Learn more about Solving Exponents at:

#learnwithBrainly

8 0

2 years ago

What is the slope of the line that passes through the points (6, 2) and (4, 10)?

drek231 [11]

Answer:

-4

Step-by-step explanation:

Slope = y2 - y1/x2 - x1

Given

x1 = 6

y1 = 2

x2 = 4

y2 = 10

Therefore

Slope = 10 - 2/4 - 6

= 8/-2

= -4

5 0

2 years ago

Read 2 more answers

Write one sentence using the word approximate .

Leya [2.2K]

Answer: janet will should be her approximately around 5:30

Step-by-step explanation:

3 0

2 years ago

Melia put the $30 her Grandmother gave her for her tenth birthday into her piggy bank. Each week after

Vladimir [108]

This is a sequence because the points form a straight line. The expression is: t(n) = 30 + 2x, x is number of weeks. On her 18th birthday, that is 8 years after her 10th. that means 416 weeks have passed since her 10th birthday. Plug 416 into the equation to get: t(416) = 30 + 2(416) = $862. She will have $862 to Spend.

3 0

2 years ago

Find the slope of the line passing through (9, -6) and (5, 10).

Marrrta [24]

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

Let's plug in our values: (10 - 9)/(5 - - 6)
This gives us 1/11 as our slope.

3 0

2 years ago