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Agata [3.3K]
3 years ago
5

Simplify the expression. Write your answer as a power. (-3)^4/(-3)^1​

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Step-by-step explanation:

Simplify the following:

(((-3)/4)^5)^2

Multiply exponents. (((-3)/4)^5)^2 = ((-3)/4)^(5×2):

((-3)/4)^(5×2)

5×2 = 10:

((-3)/4)^10

((-3)/4)^10 = (-3)^10/4^10:

(-3)^10/4^10

(-3)^10 = (-1)^10×3^10 = 1×3^10:

3^10/4^10

4^10 = (4^5)^2 = (4×4^4)^2 = (4 (4^2)^2)^2:

3^10/(4 (4^2)^2)^2

4^2 = 16:

3^10/(4×16^2)^2

3^10/(4×256)^2

4×256 = 1024:

3^10/1024^2

3^10/1048576

Answer=3^10 / 2^20

You might be interested in
Please help fast ^^
allsm [11]
The discriminante :
b^2-4ac

1^2 - 4 * -2 * -28 = 1 - 224 = -223

When the discriminant (b^2-4ac) is less than 0, the equation had no real solutions.

-223<0, so, 2x^2+x-28 = 0 has no real solutions.


Hope that helps :)
7 0
3 years ago
F(2) = -13 and f(-3) = 12
mario62 [17]

Answer:

f(x) = -5x-3

Step-by-step explanation:

f(x) = ax + b

f(2)=-13 & f(-3) =12

2a + b = -13

-3a+ b = 12

_________-

5a = -25

a = -5

b= -13+10= -3

so the formula of f(x) = -5x -3

5 0
3 years ago
What are all the fractors of 21 and of 30?
iren2701 [21]
21= 1,3,7,21
30= 1,2,3,5,6,10,15,30

common factors= 1,3
8 0
4 years ago
Why is ac smaller than ad if they both look very close
kakasveta [241]

Let's begin by listing out the information given to us:

We start out by observing that Triangles MKR & ACD are similar or proportional

\begin{gathered} MK=21;AC=\text{?} \\ MR=24;AD=28\frac{4}{5} \\ KR=CD=\text{?} \end{gathered}

We will solve for the missing side by using the similar triangle theorem. This is shown below:~

\begin{gathered} \Delta MKR\approx\Delta ACD \\ \frac{MK}{AC}=\frac{MR}{AD} \\ \frac{21}{AC}=\frac{24}{28\frac{4}{5}} \\ \text{Cross multiply, we have:} \\ 24\cdot AC=28\frac{4}{5}\cdot21 \\ AC=\frac{28\frac{4}{5}\cdot21}{24}=25\frac{1}{5} \\ AC=25\frac{1}{5} \end{gathered}

8 0
1 year ago
3 + 5x - 10 = 13, Whats x?
Romashka [77]
Hi there, 3+-10=-7 so, -7+5x=13. First, we add -7 to both sides, which gives us 5x=13+7, 13+7=20, so 5x=20. Now, we divide both sides by 5, Therefore, x=4
5 0
3 years ago
Read 2 more answers
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