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salantis [7]
3 years ago
15

solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3(4^-4 over 3^3)*3^3 Pleas

e help and PLEASE explain in steps how you got the answer.
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

  3^64^{11}

Step-by-step explanation:

It appears you're trying to simplify ...

  (3^{-2}4^{-5}5^0)^{-3}\cdot\dfrac{4^{-4}}{3^3}\cdot 3^3

The final factor cancels the denominator of the fraction, so we have ...

  3^{(-2)(-3)}4^{(-5)(-3)-4}=3^64^{11}

_____

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

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PLEASE HELP!!!!!!!! IMAGE ATTACHED!!!!
erma4kov [3.2K]

Answer:

Step-by-step explanation:

4) (-2,3)   ;  (-1,-2)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-2-3}{-1-[-2]}\\\\=\frac{-5}{-1+2}\\\\=\frac{-5}{1}\\\\=-5

5) line is parallel to x-axis. So, slope= 0

6) (1,1) ;  (-2, -1)

Slope=\frac{-1-1}{-2-1}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}

6 0
3 years ago
What’s the answer to this problem?
Alja [10]

Answer:

Figure:         Amount of tiles:

1                    5

2                   8

3                   11

4                   14

5                   17

6                   20

7                   23

8                   26

9                   29

10                 32

11                  35

12                 38

13                 41

The sequence/pattern is +3 tiles.

So Figure 13 will have 41 tiles.

I hope this helps!

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3 0
3 years ago
G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =
laiz [17]

Given:

The two functions are:

g(b)=5b-9

h(b)=(b-1)^2

To find:

The value of (h\circ g)(-6).

Solution:

We have,

g(b)=5b-9

h(b)=(b-1)^2

We know that,

(h\circ g)(b)=h(g(b))

(h\circ g)(b)=h(5b-9)

(h\circ g)(b)=[(5b-9)-1]^2

(h\circ g)(b)=[5b-10]^2

Putting b=-6, we get

(h\circ g)(-6)=[5(-6)-10]^2

(h\circ g)(-6)=[-39-10]^2

(h\circ g)(-6)=[-49]^2

(h\circ g)(-6)=2401

Therefore, the value of (h\circ g)(-6) is 2401.

7 0
3 years ago
What is the value of x if e3x+6=8
jarptica [38.1K]

Answer:

x=ln(2)/3

Step-by-step explanation:

e^3x+6=8

e^3x=8-6

e^3x=2

ln(e^3x)=ln(2)

3x=ln(2)

x=ln(2)/3

3 0
3 years ago
An item is regularly priced at $80. Juan bought It at a discount of 20% off the regular price. How much did Juan pay?
Gnesinka [82]
Hello there! So, the item has a 20% discount, but Juan still had to pay 80% for the item. To find the amount he paid, all you have to do is multiply the price by the percentage. We multiply by 80%, because he still had to pay the portion of the price. 80 * 80% (0.8) is 64. The. Juan paid $64.
3 0
3 years ago
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