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IceJOKER [234]
3 years ago
6

3. Aplica las propiedades de la potenciación de números enteros para simplificar cada una de las siguientes expresiones.

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

Step-by-step explanation:

a)  (2³ · 2⁴)⁵ · (2⁷ · 2¹ · 2²)⁰ / (2³ · 2²) = (2⁷)⁵ · 1 / 2⁵ = 2³⁵ / 2⁵ = 2⁷

b) (((-6)²· (-6)⁴)³ / ((-2)² · 3²) · (-6)⁰ = ((6²· 6⁴)³ / (2²· 3²)  1 = (6⁶)³ / 6² = 6¹⁸ / 6² = 6¹⁶

c) (√81 / √9) · (3² / 3²) / 3² = (9 / 3) · 3²⁻² / 3² = 3 · 3⁰ / 3² = 3¹ / 3² = 1 / 3 = 3⁻¹

D) (√2 ·√3 ·√20) / √√625 = √6 · √20 / √25 = √6 · √5 · √4 / 5 = (2/5) √30

God is with you!!!

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Solve the following system of equations using the substitution method.
BartSMP [9]

Answer:

B

Step-by-step explanation:

First label the equations.

6x +3y= 18 -----(1)

y= -2x +5 -----(2)

subst. (2) into (1):

6x +3(-2x +5)= 18

6x +3(-2x) +3(5)= 18 (expand)

6x -6x +15= 18

15= 18 (simplify)

(reject)

There is no solution.

<u>Further explanation</u><u>:</u>

If I rewrite the first equation into the form of y=mx+c, I would get

6x +3y=18

3y= 18 -6x (bring y term to one side)

y= 6- 2x (÷3 throughout)

y= -2x +6

Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.

3 0
3 years ago
A group orders 3 large veggie pizzas. Each slice represents 1/8 of the entire pizza. The group eats 3/4 of the pizza. How many s
anyanavicka [17]

The first step is to calculate the total number of pizza slices there are.

We know each slice is 1/8 of the pizza.  (think of 1/8 as 1 out of 8 pieces)
This means each pizza has 8 slices. 
There are 3 pizzas so there are 8 x 3 = 24 slices total


Next we want to figure how many slices of pizza they ate which will help us figure out how many are left.

They ate 3/4 of the pizza, so in other words only 1/4 of the pizza is left.


In order to figure out how many slices are left, all we need to do is find out what 1/4 of the total number of slices are.

# of slices left = Total number of slices x 1/4 (1/4 of the pizza is left)

# of slices left = 24 x 1/4 = 24÷4 = 6

This means there are 6 slices of pizza left.

3 0
3 years ago
The scientific notation 3.14×10^-3 has what value
Varvara68 [4.7K]
<span>3.14×10^-3 = 0.00314

hope that helps</span>
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Answer:

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Step-by-step explanation:

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