1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr [31]
3 years ago
8

Simplify (5n^4)^−3. Assume n ≠ 0.

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0
Since the exponent (-3) is negative, flip the expression to: 1/(5n^4)^3.

Notice how the negative exponent becomes positive as you flip it.

Now evaluate the powers in the denominator: 1/((5^3)(n^4)^3

I separated the constant (5) from the variable (n) to show you how the powers are evaluated.

1/(5x5x5)(nxnxnxn)(nxnxnxn)(nxnxnxn)
—-> the power four means that there are 4 multiples of n in the parentheses. The power 3 corresponds to how many groups.

1/(125)(n^12)

= 1/125n^12
You might be interested in
About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering​ st
Ksenya-84 [330]

Answer:

"6 out of 10 people" means the ratio of class:no_class is 6:4

990/10 = 99, the smallest the "class" and the "no_class" add up to is 10. And, generally, the total divides with that nicely, as in this case.

99(6) = 594 ----------- probably class

99(4) = 396 ------------------ probably no class

Total  = 990

I hope this helps

Step-by-step explanation:

BRAINLIEST?

4 0
2 years ago
Select all ordered pairs that satisfy the function of y=2/3x+1.
kvv77 [185]

Answer:

A.

Step-by-step explanation:

Plugging in all the values into the equation, only A holds a true statement.

5 0
3 years ago
Read 2 more answers
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of
yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0
3 years ago
Trigonometry question! find y. round to the nearest tenth!​
tresset_1 [31]

Answer:

<h2>y = 242.4 ft</h2>

Step-by-step explanation:

Look at the picture.

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have a measure of the angle and length of the hypotenuse:

\alpha=29^o,\ hypotenuse=500\ ft

\sin29^o\approx0.48481

Substitute:

\dfrac{y}{500}=0.48481              <em>multiply both sides by 500</em>

y=242.405\to y\approx242.4

7 0
3 years ago
Expand and Simplify (2x+1)(x-2)(x+3)
NeTakaya

(2x + 1)(x - 2)(x + 3) \\  = (2x  + 1)( {x }^{2}  + x - 6) \\  ={2x}^{3}  + 2 {x}^{2} -12x +  {x}^{2}  + x - 6 \\  = 2 {x}^{3}  + 3 {x}^{2}  - 11x - 6
hope this would help you
6 0
3 years ago
Other questions:
  • What is the product?
    13·1 answer
  • Solve the formula for the red variable (a). *<br> 23. P= a + b + c<br> Your answer
    8·1 answer
  • What ate the domain and range of f(x)(1/6)x+2?
    15·1 answer
  • A wall has an area of 40 ft. It’s height is 8 feet. Which equation could you use to find its width. Answers 40- w = 8
    12·1 answer
  • There are 600 cars in the parking lot. The ratio of red cars to white cars is 3:5. How many red cars and how many white cars are
    15·1 answer
  • Replace variables with values and
    15·1 answer
  • How many circles are there for each box
    12·1 answer
  • Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-
    14·1 answer
  • What is the simple interest for car loan of $160.62 with a 5% interest rate
    9·2 answers
  • Pls help! 30 points!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!