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3 years ago

Simplify the expression and write without negative exponents

Mathematics

1 answer:

mr_godi [17]3 years ago

8 0

$( \frac{ - 5 {x}^{2} {y}^{ - 1} }{1} ) {}^{4} = (\frac{ - 5 {x}^{2} }{y} ) {}^{4} = \frac{ - 625 {x}^{6} }{ {y}^{4} }$

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aleksandr82 [10.1K]

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2 years ago

What is the multiplicative inverse of −9?

Romashka-Z-Leto [24]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Multiplicative inverse is a pair of numbers which product gives 1.

Then

x will be our number

-9x = 1

x = - 1/9

because

-9 x $\frac{-1}{9}$ = $\frac{9}{9}$ = 1

8 0

3 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

2 years ago

Is checking account an asset or liabilitie

photoshop1234 [79]

A checking account is a liability

7 0

3 years ago

Which of the following is a solution of x2 + 4x + 25?

blondinia [14]

Solve for x:
x^2 + 4 x + 25 = 0 I ssume that's the notation.
Subtract 25 from both sides:
x^2 + 4 x = -25
Add 4 to both sides:
x^2 + 4 x + 4 = -21
Write the left hand side as a square:
(x + 2)^2 = -21
Take the square root of both sides:
x + 2 = i sqrt(21) or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
x = i sqrt(21) - 2 or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
Answer: x = i sqrt(21) - 2 or x = -i sqrt(21) - 2

5 0

3 years ago