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3 years ago

4.9x 10^2 as a decimal number????

Mathematics

1 answer:

harkovskaia [24]3 years ago

7 0

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

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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

3 years ago

Can anyone please help me on this?

Elena L [17]

Answer:

Step-by-step explanation:

ive done this beffore im a pro

3 0

3 years ago

3x + 2(4x - 4) = 3 4 3 2 1

rjkz [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the slope of the line that passes through the points (−2/3, 3/4) and (5/6, −1/2).

EastWind [94]

Answer:

$-\frac{5}{6}$

Step-by-step explanation:

Use the slope formula : $\frac{y2-y1}{x2-x1}$

-1/2 is y2, 3/4 is y1, 5/6 is x2, and -2/3 is x1.

$\frac{-1/2-3/4}{5/6-(-2/3)}$

$\frac{-5/4}{5/6+2/3}$

$\frac{-5/4}{9/6}$

$\frac{-5}{4}$ ÷ $\frac{9}{6}$

$-\frac{5}{4}$ • $\frac{6}{9}$

$-\frac{5}{2}$ • $\frac{3}{9}$

$-\frac{15}{18}$

$-\frac{5}{6}$

Hope this helps! Let me know if I got it wrong.

5 0

3 years ago

Giving brainliest!!!

hjlf

Answer:

1/16

Step-by-step explanation:

1/8 × 1/2

multiply the numerator= 1

multiply the denominator= 16

that is

1/16

3 0

2 years ago