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Anni [7]
2 years ago
5

Rewrite each multiplication or division expression using a base and an exponent

Mathematics
1 answer:
brilliants [131]2 years ago
6 0

Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.

<h3>What is the result of the division in exponent form?</h3>

Given the expression; 4⁵ ÷ 4²

To perform the division operation, we use one of the laws of indices;

n^a/n^b = n^{a-b}

Given that;

  • n = 4
  • a = 5
  • b = 2

Now, we apply the laws of indices ;

4⁵ ÷ 4² = 4⁵⁻² = 4³

Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.

Learn more about exponents here: brainly.com/question/15993626?

#SPJ1

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Find the solution set for the open sentence with the given replacement set? w2+9=6w,{0,3,6,9}
Charra [1.4K]

We need to solve the equation: w² + 9 = 6w

⇒ w² - 6w + 9 = 0

⇒ w² - 3w - 3w + 9 = 0 (Breaking 6w such that their product is 9w²)

⇒ w × (w - 3) - 3 × (w - 3) = 0 (Extracting common factors)

⇒ (w - 3) × (w - 3) = 0

⇒ (w - 3)² = 0

⇒ w = 3

Hence, the correct answer is 3, which is the second option from the replacement set

7 0
4 years ago
What is the equivelent to (2-5i)(-2+5i)?
Andreyy89
21+20i is the answer
4 0
3 years ago
Please please help me
rodikova [14]

Answer:

.009

Step-by-step explanation:

Move the decimal two places to the left for s and t

4 0
3 years ago
Use a graphing calculator to solve the equation -2sin(theta)= 1.2 in the interval from 0 to 2pi.
elena-s [515]

Answer:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64  

Step-by-step explanation:

As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:

\theta=3.7\\\\and\\\\\theta=5.7

So, it's useful to solve the equation too, in order to verify the result:

-2sin(\theta)=1.2\\\\sin(\theta)=-\frac{3}{5}

Taking the inverse sine of both sides:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64

Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:

\theta\approx 3.785\\\\\theta \approx 5.64

8 0
3 years ago
If you give me the right answer i will give you the brainlyest!!!!!!
Licemer1 [7]

Answer:

the graphed points are in the picture attached

They intersect at (-8,1)

It passes through the x-axis at (-10,0)

It passes through the y-axis at (0,5)

Step-by-step explanation:

:)

5 0
4 years ago
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