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iVinArrow [24]
4 years ago
5

Help asap!! Simplify 2 to the 5th over 3 squared all raised to the 4th power.

Mathematics
1 answer:
aniked [119]4 years ago
4 0

Answer:

2 to the 20th power over 3 to the 12th power

Step-by-step explanation:

Numerator: base = 2.  Power=5*4=20

Denominator :base 3 Power=3*4=12

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Please help me thank you.
Alona [7]

Answer:

\large\boxed{1.\ (4)^{-3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}}

\large\boxed{2.\ ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x}

Step-by-step explanation:

Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\\------------\\\\(4)^{-3x^2}=\left[(4)^{-1}\right]^{3x^2}=\left(\dfrac{1}{4}\right)^{3x^2}

Use:\ a^{-n}=\left(\dfrac{1}{a}\right)^n\ and\ (a^n)^m=a^{nm}\\--------------------\\\\ab^{-3x}=a\cdot b^{-3x}=a\left[(b)^{-1}\right]^{3x}=a\left(\dfrac{1}{b}\right)^{3x}\\\\ab^{-3x}=a\left(\dfrac{1}{b}\right)^{3x}=a\left[\left(\dfrac{1}{b}\right)^3\right]^x

8 0
3 years ago
Please help!<br> Write down the correct type of angle for angles A to E.
mel-nik [20]

Answer:

Angle A- Obtuse angle

Angle B- Right angle

Angle C- Reflex angle

Angle D- Reflex angle

Angle E- Acute angle

4 0
3 years ago
What is the mean of 18,24,17,21,24,16,29,18
timurjin [86]

Answer:

20.875

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Arjun solved the equation 7·m=56 His work is shown. What error did Arjun make?
natulia [17]
He multiplied rather than dividing.

\mathrm{Divide\:both\:sides\:by\:}7 \ \textgreater \  \frac{7m}{7}=\frac{56}{7} \ \textgreater \  Simplify \ \textgreater \ m = 8

Hope this helps!
6 0
3 years ago
Read 2 more answers
I need some Help please
djverab [1.8K]

Answer:

a) f(2) = 4

b) g(3) = 3

c) g(1/3) = -1

d) f(3) = 1/2

e) g(-2) = 2

f) f(π) = 3

Step-by-step explanation:

We are given:

f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}

We need to find the following values of f and g

a) f(2)

f(2) means when x=2, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4

So, f(2) = 4

b) g(3)

g(3) means when x=3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3

So, g(3) = 3

c) g(1/3)

g(1/3) means when x=1/3, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1

So, g(3) = -1

d) f(3)

f(3) means when x=3, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2

So, f(3) = 1/2

e) g(-2)

g(-2) means when x=-2, we need to find the value of y.

Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2

So, g(-2) = 2

f) f(π)

f(π) means when x=π, we need to find the value of y.

Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3

So, f(π) = 3

6 0
3 years ago
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