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kicyunya [14]
2 years ago
7

Write 6^8 • 6^7 as a single power

Mathematics
1 answer:
taurus [48]2 years ago
3 0
<h3><u>Write 6^8 • 6^7 as a single power:</u></h3>

6^8 \times 6^7 = 6^{15}

<em><u>Solution:</u></em>

Given that,

We have to write 6^8 • 6^7 as a single power

Given is:

6^8 \times 6^7

<em><u>Use the following law of exponent</u></em>

a^m \times a^n = a^{m+n}

When, the base is same, powers gets added

Therefore,

6^8 \times 6^7 = 6^{8+7}\\\\6^8 \times 6^7 = 6^{15}

Thus the given is written as a single power

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Selam purchased a pen at 20% discount on marked price but sold it at marked price find the grain per cent of the Saleem on the t
kiruha [24]

Answer:

25%

Step-by-step explanation:

let the Market Price of the Watch (M.P.) be x

CP for Rahim=x-[(20/100)*x]

CP = (1 *x) /5 = 4x/5

SP for Rahim = MP = x

Difference (Profit) = SP-CP = x - (4x/5) = (5x - 4x)/5 = x/5

Profit % = (Profit/CP) * 100

Profit % = (x/5)/(4x/5) * 100

Profit % = 25 %

7 0
2 years ago
Question is in picture​
Pachacha [2.7K]

Answer:

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5 0
2 years ago
Angle θ is in standard position. If tan ⁡ θ &lt; 0 and cos ⁡ θ = − 4/5 , find sin ⁡ θ .
Pani-rosa [81]

Answer:

The value found is.

sin θ = 0.6

Step-by-step explanation:

We know that the value of cosθ is given -4/5

cosθ = -4/5

First, lets finds the angle θ by taking inverse of cosine of -4/5

θ = cos⁻¹ (-4/5)

θ = 143.13°

Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:

tanθ < 0

tan(143.13°) < 0

-0.75 < 0

Hence the equation is satisfied.

Which means that θ is equals to 143.13° and can be used to find sinθ

sinθ = sin 143.13°

sin 143.13° = 0.6

6 0
3 years ago
F(x)=x cubed +3x squared -6x-8
svlad2 [7]

Answer: x = {-4, -1, 2}

<u>Step-by-step explanation:</u>

        q                     p

F(x) = x³ + 3x² - 6x - 8

\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

     =  1 + 3 - 6 - 8

     =  -10    <em>Since the remainder is not 0, then x = 1 is not a root</em>

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

       = -1 + 3 + 6 - 8

       =  0   <em>Since the remainder is 0, x = -1 is a root.</em>

Use synthetic division to find the remaining factor:

x = -1  →  x + 1 = 0

-1  |  1     3     -6     -8

   <u>|  ↓    -1     -2      8     </u>

      1      2    -8      0

(x + 1)(x² + 2x - 8)  = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2)  = 0  

x + 1 = 0        x + 4 = 0         x - 2 = 0

x = -1              x = -4               x = 2

 


6 0
3 years ago
Differentiate y = 1/√x​
omeli [17]

y=1/root under x=x^_1/2

6 0
3 years ago
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