All categories

3 years ago

Rewrite the expression with rational exponents as a radical expression by extending the properties of Internet exponents

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

Answer:

option a

Step-by-step explanation:

y^7/8 / y^1/4

First we will accommodate the fractions

1/4 = 2/8

y^7/8 / y^2/8

Then we will subtract the exponents of the powers since they have the same base and are dividing

7/8 - 2/8 = 5/8

y^5/8

Finally we pass the 8 as radical root

8√y^5

You might be interested in

A rectangular piece of paper has side lengths of 30 cm and 25 cm.

babunello [35]

Answer:

480 cm²

Step-by-step explanation:

New side lengths:

80% of 30 cm = 0.8% × 30 cm = 24 cm

80% of 25 cm = 0.8 × 25 cm = 20 cm

area = length × width

area = 24 cm × 20 cm

area = 480 cm²

8 0

2 years ago

Read 2 more answers

Can anyone help me with this

ANTONII [103]

Answer:

Sure, what do you need

Step-by-step explanation:

4 0

3 years ago

Whose correct & whats an equation to solve for x.

Effectus [21]

Answer:

Step-by-step explanation:

x is the side opposite the angle of 12 degrees

we know the hypotenus is 20 ft

we don't know what the side length that is adjacent to the angle

----------------

ADJ/HYP = cos (of the angle)

OPP/HYP = sin (of the angle)

sin/cos = tan (of the angle) = ( OPP/HYP) / (ADJ/HYP) = OPP/ ADJ

How would we solve for x the side opposite the angle?

So who is right?

3 0

3 years ago

Find the jacobian of the transformation. x = u2 + uv, y = uv2

atroni [7]

$\mathbf J=\begin{bmatrix}\dfrac{\partial x}{\partial u}&\dfrac{\partial x}{\partial v}\\\\\dfrac{\partial y}{\partial u}&\dfrac{\partial y}{\partial v}\end{bmatrix}=\begin{bmatrix}2u+v&u\\v^2&2uv\end{bmatrix}$

The Jacobian has determinant

$\det\mathbf J=\begin{vmatrix}2u+v&u\\v^2&2uv\end{vmatrix}=(2u+v)2uv-uv^2=4u^2v+uv^2=uv(4u+v)$

5 0

4 years ago

Customers at your store select their groceries from shelves and then pay. Sales records and records of restocks for Flaming Roas

ioda

Answer:

The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2.

Explanation:

The change in the number of bags any day is the number of bags is equal to the number of bags purchased to restock less the number of bags sold that day.

Change = bags purchased to restock - bags sold

At the end of Tuesday, the change is:

Restock: 6

Sales: 5

Change: 6 - 5 = 1 (note that this means that the number of bags increases by 1)

At the end of Wednesday, the change is:

Restock: 12

Sales: 8

Change: 12 - 8 = 4 (the number of bags increases by 4)

At the end of Thursday, the change is:

Restock: 12

Sales: 2

Change: 12 - 2 = 10 (the number of bags increases by 10)

At the end of Friday, the change is:

Restock: 18

Sales: 19

Change: 18 - 19 = - 1 (the number of bags decreases by 1).

At the end of Saturday, the change is:

Restock: 24

Sales: 22

Change: 24 - 22 = 2 (the number of bags increases by 2).

At the end of Sunday, the change is:

Restock: 0

Sales: 15

Change: 0 - 15 = - 15 (the number of bags decreases by 15).

At the end of Monday, the change is:

Restock: 0

Sales: 3

Change: 0 - 3 = - 3 (the number of bags decreases by 3).

The net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday equals the algebraic sum of every change:

Net change = 1 + 4 + 10 + (-1) + 2 + (-15) + (-3)

Using associative property: (1 + 4 + 10 + 2) - (1 + 15 +3)

Simplifying: 17 - 19 = -2

Conclusion: the net change in how many bags are on the shelf, from the beginning of Tuesday to the end of Monday is -2, meaning that the number of bags, after taking into account all sales and restock, decreases by 2.

5 0

3 years ago