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brilliants [131]
3 years ago
6

Write an equivalent expression without negative exponent for 5 to the negative 4th power

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Hi! I'm happy to help!

To solve this problem, we need to first solve 5^{-4}.

Negative exponents divide the number by x instead of multiplying. So, 5^{-4} is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is \frac{1}{5}, and put this to the fourth power. \frac{1}{5} ^{4}

This expression also equals 1/625.

I hope this was helpful, and keep learning! :D

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HELP! BRAINLIEST ANSWER!
topjm [15]

Answer:

6. 5x - 2

7. 13in

8. 3a + 20

9. 21 1/2

explanation:

6. add all of the values together

7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13

8. add all values

9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2

7 0
3 years ago
A coordinate grid is mapped onto a video game screen, with the origin at the lower left corner. The game designer programs a tur
Ad libitum [116K]

Answer: 0.8

Step-by-step explanation:

The slope of a line passing through point A(a,b) and B(c,d) is given by :-

m=\dfrac{d-b}{c-a}

Given : A coordinate grid is mapped onto a video game screen, with the origin at the lower left corner.

The game designer programs a turtle to move along a linear path that passes through the points (0, 0) and (10, 8).

Then , the slope of the line that represents the turtle's path is given by :-

m=\dfrac{8-0}{10-0}=\dfrac{8}{10}=0.8

Hence, the slope of the line that represents the turtle's path is 0.8 .

5 0
3 years ago
Read 2 more answers
What is the 4th term in the sequence b(n)=1(-2)^n-1
mel-nik [20]
b(n)=1(-2)^n-1

When n = 4, 
b(4)=1(-2)^4-1

b(4)=16-1

b(4)=15

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

b(n)=1(-2)^{n-1}

When n = 4
b(4)=1(-2)^{4-1}

b(4)=1(-2)^3

b(4)=1(-8)

b(4)=-8

8 0
3 years ago
The function t(x)=3x+1 determines how many cans of green beans a food truck needs to stock on board, where x is the number of sh
artcher [175]

\bf \begin{cases} t(x)=3x+1\\ c(x)=x+4\\ c(~~t(x)~~)=[t(x)]+4 \end{cases} \\\\\\ \stackrel{\textit{the crew working 2 shifts, x = 2}}{t(2)=3(2)+1}\implies t(2)=7 \\\\\\ c(~~t(2)~~)=[t(2)]+4\implies c(~~7~~)=[7]+4\implies \boxed{c(7)=11}

5 0
3 years ago
Read 2 more answers
If -3(y-1)=9 find the value of 1/2y
Sveta_85 [38]

Answer:

-1

Step-by-step explanation:

y-1=-3

y=-2

.:1/2y=1/2(-2)=-1

4 0
3 years ago
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