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amm1812
2 years ago
11

Make an argument for why (4^2)^4=(4^4)^2

Mathematics
1 answer:
Eduardwww [97]2 years ago
6 0
I hate when it comes to explaining but I gave it my best!

(4^2)^4 is the same as (4^4)^2 because they’re both being squared and multiplied by the a number equaling to the same number, but written differently.

4^2=16 , whereas 4^4=256
HOWEVER
16^4=65536 and 246^2=65536.

Therefore both equal to the same number. It depends on the exponents, and multiplication. If it were to be a different exponent, then they wouldn’t have been the same
You might be interested in
The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
maw [93]

Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

  • 2(x +y) = 36 . . . . the perimeter is 36 m
  • (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area

The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

  xy +y +2x + 2 -xy = 30

  2x +y = 28 . . . . . . . subtract 2

Dividing the first equation by 2 gives

  x +y = 18

and subtracting this from the above equation gives ...

  (2x +y) -(x +y) = 28 -18

  x = 10

Then

  y = 18 -10 = 8

The area of the original rectangle is xy = 10·8 = 80 m^2.

4 0
3 years ago
I will give brainliest
s344n2d4d5 [400]

Answer: she was not correct, she messed up the equation.

7 0
2 years ago
Helppppppppp pleaseeeeeeeeeeeeeee
Elis [28]

Answer:

Number is yellow box=3

Step-by-step explanation:

We know this because the way we get that number is subtracting the two numbers above it, which is 8 and 5, which give us 3.

if you appreciated this, please consider giving me brainliest, it will help me a lot

Thank you,

Have a good day! :)

5 0
3 years ago
I’m struggling hardcore and I’m an online student!! I need this done by tomorrow but I am so confused on everything
Setler79 [48]

Answer:

I'm but ask a assistant

Step-by-step explanation:

ok

5 0
3 years ago
Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate mrs s gets a loan payoff of 60 months how much interest would s
Artist 52 [7]

Answer:

\$4701.80

Step-by-step explanation:

Mrs. Siebenaller bought a bus for 25,000 with a 7% interest rate and she gets a loan payoff of 60 months,

We know that,

\text{PV of annuity}=P\left[\dfrac{1-(1+r)^{-n}}{r}\right]

Where,

PV = Present value of annuity = 25000,

r = rate of interest of each period = \dfrac{7}{12}% monthly

n = number of periods = 60 months,

Putting the values,

\Rightarrow 25000=P\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]

\Rightarrow P=\dfrac{25000}{\left[\dfrac{1-(1+\frac{0.07}{12})^{-60}}{\frac{0.07}{12}}\right]}

\Rightarrow P=\$495.03

Hence total amount paid is,

=495.03\times 60=\$29,701.80

Therefore interest amount is,

=29,701.80-25,000=\$4701.80


4 0
3 years ago
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