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gavmur [86]
3 years ago
11

How do I simplify 3⁶ x 3⁵​

Mathematics
2 answers:
elena55 [62]3 years ago
6 0

Answer:

3^{11}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)} thus

3^{6} × 3^{5} = 3^{(6+5)} = 3^{11}

IgorC [24]3 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ {3}^{11} }}}}}

Step-by-step explanation:

\sf{ {3}^{6}  \times  {3}^{5} }

Add the indices and take the same base

\dashrightarrow{ \sf{ {3}^{6 + 5} }}

\dashrightarrow{ \boxed{ \sf{ {3}^{11} }}}

Hope I helped!

Best regards! :D

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2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
3 years ago
A Party Store sells large plates in packs of 12 and small plates in packs of 8. In order to have an equal number of both, what i
erik [133]

Answer:

8 12 packs and 12 8 packs.

Step-by-step explanation:

6 0
3 years ago
How do I write this fraction as a decimal 14 3/5
Softa [21]

we have

14 \frac{3}{5}

This is a mixed number

we know that

A mixed number is a combination of a whole number and a fraction.

So

14 \frac{3}{5} is equal to

14 +\frac{3}{5}

where

14 is the whole number

\frac{3}{5} is the fraction

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14 +\frac{3}{5} =14+0.60\\ \\ =14.60

therefore

the answer is

14.60

3 0
3 years ago
Read 2 more answers
the expression 6x +15 represents the total cost of a bicycle rental. When Danny rents a bike for 2 hours the total cost is 27 do
bekas [8.4K]

The coefficient 6 represents the price for an hour of bike rental.

3 0
3 years ago
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vladimir1956 [14]

Answer:

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Step-by-step explanation:

simplify

\sqrt{28800}

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120 \sqrt{2}

then

-0.05 × 120 = -6

then we have our answer

-6√2

6 0
3 years ago
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