All categories

3 years ago

Which expression below is equivalent to the expression: 12^3 x 12^9 x 12^4 x 12•2. (I NEED HELP HURRY)

Mathematics

2 answers:

timofeeve [1]3 years ago

7 0

Answer:

e or 12¹⁸

Step-by-step explanation:

Whitepunk [10]3 years ago

5 0

Answer:

12⁽¹⁸⁾

Step-by-step explanation:

The expression is given as ;

12³ × 12⁹× 12⁴× 12² -----same base, add the powers according to law of indices

12⁽³⁺⁹⁺⁴⁺²⁾

12⁽¹⁸⁾

You might be interested in

Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360

Natasha2012 [34]

$\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]$

$\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]$

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

$\rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]$

5 0

3 years ago

1/2−3(1/2+1)^2<br><br><br> Enter your answer, as a simplified fraction

o-na [289]

Answer:

$- \frac{25}{4}$

Step-by-step explanation:

$\frac{1}{2} -3 (\frac{1}{2} + 1)$ ²

Calculate sum

$\frac{1}{2} -3x (\frac{3}{2})$ ²

To raise a fraction to a power raise numerator and denominator to that power

$\frac{1}{2}$ -3 x $\frac{9}{4}$

Calculate product

$\frac{1}{2}$ - $\frac{27}{4}$

Subtract fractions

- $\frac{25}{4}$

4 0

3 years ago

a castle needs to be guarded 24 hours a day. 5 knights are ordered to slit each day's guard duty equally. how long will each kni

Aleonysh [2.5K]

Answer:

they would hav about like 4 hours and 0.6 mins

Step-by-step explanation:

6 0

3 years ago

If the sequence 1, 6, 7, 13, 20, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Alex787 [66]

The Fibonacci sequence is generated by starting with the numbers 0 and 1 (or 1 and 1) and obtaining the next number by adding them together. All successive numbers are the sum of the previous two.

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

and so on.

For this sequence, we have

1 + 6 = 7

6 + 7 = 13

7 + 13 = 20

13 + 20 = 33

20 + 33 = 53

33 + 53 = 86

3 0

3 years ago

What is the image of the point (-8,3)(−8,3) after a rotation of 270^{\circ}270

mel-nik [20]

Given:

The point is (-8,3).

To find:

The image of the given point after a rotation of 270 degrees counterclockwise about the origin.

Solution:

If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:

$(x,y)\to (y,-x)$

Using this rule, we get

$(-8,3)\to (3,-(-8))$

$(-8,3)\to (3,8)$

Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).

3 0

3 years ago