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2 years ago

7

Please help! -300 120 300

1 answer:

oksano4ka [1.4K]2 years ago

6 0

Answer:

120

Step-by-step explanation:

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Exponent Laws - difference between product law and product raised to a power (with formula please)

enyata [817]

Answer:

Exponent laws:

1. Product law

$x^{a}\times x^{b}\times x^{c}=x^{a+b+c}$

In product law if bases are same then we add their respective powers.But if bases are different we can't add their powers.

x=base, a,b,c=exponent

If x=2 and a=3, b=5 , and c=10, then

$2^{3}\times2^{5}\times2^{10}=2^{3+5+10}=2^{18}$

2.Product raised to a power

1. $[x^{a}]^{c}=x^{ac}$

2. $[x^{a}\times x^{b}]^{c}=[x^{a+b}]^{c}=x^{ac+bc}$

If product is raised to a certain power , keeping the base same , we just multiply the powers.for example

$[2^{3}]^{4}=2^{3\times4}=2^{12}$ and

$[2^{3}\times3^{2}]^{2}=[2^{3}]^2 \times[3^{2}]^{2}=2^{6}\times3^{4}$

$[2^{3}\times2^{2}]^{2}=[2^{3+2}]^{2}=[2^{5}]^{2}=2^{10}$

7 0

2 years ago

Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?

Alecsey [184]

Flip should get 4 boxes.

6*5=30
30/8=3.75
round up for 4.

3 0

11 months ago

The diagram shows a sector of a circle radius 10cm

Yuki888 [10]

Answer:

$\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}$

Step-by-step explanation:

$\text{Perimeter of the sector = Radius + arc length + radius}$

$\text{Radius = 10 cm}$

$\text{Perimeter of the sector = 10 + arc length + 10 }$

$\text{Perimeter of the sector = 20 + arc length }$

$\text{arc length = (sector angle/ 360 ) * perimeter of the circle}$

$\text{Perimeter of a circle }=2\pi r$

$\text{sector angle} = 135$

$\text{arc length} = (135/ 360 ) * 2\pi (10)$

$= (3/8) 20\pi$

$= 15\pi /2$

$\text{Using }\pi =3.14$

$= 15 * 3.14 /2$

$= 23.55$

$\text{Perimeter of the sector = 20 + 23.55}$

$= 43.55$

$= 43.6 cm$

$\text{perimeter of the sector = 43.6 cm }$

8 0

2 years ago

What number when divided by 12 gives a quotient of 16 and a remainder of 8?

valina [46]

(12 x 16) = 192 + 8 = 200

Therefore the answer is 200 which when divided by 12 gives a quotient of 16 and a remainder of 8.

3 0

2 years ago

Is the following expression true or false? [x^2 + 8x + 16] · [x^2 – 8x + 16] = (x2 – 16)^2

Vilka [71]

$(x^{2} +8x+16)(x^{2} -8x+16)\\(x+4)^{2} (x-4)^{2} \\(x^{2}-16)^{2} \\$

it is true; just work them out, you should get what they got :))

3 0

3 years ago

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