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3 years ago

Why does 3^4 x 3^6 simplify to 3^10 instead of 9^10

Mathematics

2 answers:

ira [324]3 years ago

7 0

Answer:

3^10

Step-by-step explanation:

you add the powers and not times the whole thing

k0ka [10]3 years ago

4 0

Answer:

3^10

Step-by-step explanation:

Because the rules of index

3^4 = 3*3*3*3

3^6 = 3*3*3*3*3*3

(3^4)(3^6)=

3*3*3*3*3*3*3*3*3*3 = 3^10

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factorise completely (x plus 2) Square - (x - 4) Square and hence find then value of 1000 Square minus 992 Square

tekilochka [14]

Answer:

$x^2+3x+8$

$15936$

Step-by-step explanation:

$\left(x+2\right)^2-\left(x-4\right)$

$\left(x+2\right)\left(x+2\right)-\left(x-4\right)$

$x^2+2x+2x+4-(x-4)$

$x^2+4x+4-\left(x-4\right)$

$x^2+4x+4-x+4$

$x^2+3x+8$

$1000^2-992^2$

$1000000-984064$

$15936$

3 0

3 years ago

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RideAnS [48]

Answer:

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Step-by-step explanation:

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3 years ago

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Help! I don't know how to do this! ASAP!

Leya [2.2K]

Answer:

1.75a-11 (or) 1 3/4a-11

Step-by-step explanation:

3.75a-12-2a+1=

1.75a-11

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3 years ago

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A photograph measures 12 inches wide by 20 inches long. If the picture is reduced so that the length is 8 inches. What is the ne

patriot [66]

8÷20=0.4
0.4×12=4.8
The width is 4.8 inches

6 0

4 years ago

If <img src="https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="sin\theta = \frac{1}{3}"

vlada-n [284]

Answer:

- 0.183

Step-by-step explanation:

Given that $\sin \theta = \frac{1}{3}$

and $\frac{\pi }{2} < \theta < \pi$

We have to find the exact value of $\sin (\theta + \frac{\pi }{6} )$ .

Now, $\sin \theta = \frac{1}{3}$

⇒ $\theta = \sin ^{-1} (\frac{1}{3} ) = 19.47$

Now, since $\frac{\pi }{2} < \theta < \pi$ ,

So, $\theta = 180 - 19.47 = 160.53$

{Since $\sin \theta = \sin (180 - \theta)$

Now, $\theta + \frac{\pi }{6} = 160.53 + 30 = 190.52$

Hence, $\sin (\theta + \frac{\pi }{6} )$ .

= $\sin 190.52$

= - 0.183 (Approximate) (Answer)

7 0

3 years ago