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Over [174]
3 years ago
14

How do I simplify (y^3)^3 without parentheses?

Mathematics
2 answers:
olga2289 [7]3 years ago
7 0
We multiply the exponents outside of the parenthesis to all the exponents inside the parenthesis.

\sf(y^3)^3\rightarrow~y^{3\times3}\rightarrow~\boxed{\sf~y^9}
riadik2000 [5.3K]3 years ago
3 0
We will use this property in exponents to answer your question:

\sf{(a^b)^c=a^{b\times c}}

So basically we multiply the exponents when it is outside of the parenthesis. So:

\sf{(y^3)^3=y^{3\times3}}

\sf{=y^9}

So your answer would be \boxed{\sf{y^9}}
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Please help me solve this problem.
levacccp [35]

Answer:

  • h =  V/πr²
  • h = 10 inches

Step-by-step explanation:

  • V = πr²h

<u>1. Solving for h:</u>

  • V = πr²h
  • πr²h = V
  • πr²h/πr² = V/πr²
  • h =  V/πr²

<u>2. Finding the height of given cylinder, using formula above:</u>

  • V = 90π, r = 3 inches, h = ?
  • h =  V/πr²
  • h = 90π/π3²
  • h = 10 inches
4 0
3 years ago
A laptop computer i purchaed for. Each year, it value i $1500 of it value 75% the year before. After how many year will the lapt
Andrews [41]

After 7 years  the laptop computer will be worth $200 or less.

In this question, we have been given a laptop computer is purchased for $1500 . Each year, its value is 75%  of its value the year before.

We need to find the number of years when laptop computer be worth $200  or less.

We can see that given situation represents exponential decay function with initial value 1500, decay rate = 0.75 and the final value = 200

We need to find period t.

For given situation we get an exponential function as,

1500 * (0.75)^t ≤  200

(0.75)^t  ≤ 2/15

t * ln(0.75) ≤ ln(2/15)

t * (-0.2877) ≤ -2.0149

t ≥ (-2.0149)/(-0.2877)

t ≥ 7

Therefore, the laptop computer will be worth $200 or less after 7 years.

Learn more about exponential function here:

brainly.com/question/14355665

#SPJ4

4 0
9 months ago
The point (2,-4) is on the line given by which equation below?
densk [106]

Answer: (A) y=-2x

Step-by-step explanation:

Lets plug in the point (2,-4) for each equation.

-4=-2(2) this is correct

-4=2*2

-4=4 This cannot be true

-4=-2+3 =-4=1 This is false

Lastly, -4=2-4 this is false because -4 can't equal to -2.

So, A is the answer

5 0
3 years ago
How do you multiply letters
anyanavicka [17]

Answer: you don't multiply the letters, the letter means any number

EX: if there was an equasion like        f x 43 276 the f would be 6 because 6x 43 =276 or 5 x 65 = x

Step-by-step explanation:

3 0
3 years ago
a corner shelf is 1/4 of a circle and has a radius of 10.5 inches . Enter the area of the shelf in square inches . round your an
schepotkina [342]
First, find the area of the shelf if it were a full circle.
the formula for the area of a circle is a=pi(r squared)
a=pi (10.5 squared)
a=pi  x 110.25
a=3.14 x 110.25
a=346.185
now, you have to divide that area by 4 to get the area of the 1/4 circle
346.185/4=86.55
5 0
3 years ago
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