I Give Metals. Which of the following is an equivalent representation of 3^-3 ?

- anonymous

I Give Metals. Which of the following is an equivalent representation of 3^-3 ?

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- anonymous

|dw:1443453405498:dw|
@texaschic101

- anonymous

a 1/27
b. 1/9
c. 1/64
d. 1/16

- texaschic101

a^-n = 1/a^n
3^-3 = 1/(3^3) or 1/27

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## More answers

- anonymous

can you help me with more

- texaschic101

I can try..but I am not the best with exponents

- anonymous

Which of the following best describes the solution to the equation below?
14x + 15 = 7x + 32

- texaschic101

little hint....when moving something across the equal sign, you just have to change the sign.
14x + 15 = 7x + 32 --- gonna move the 15 and the 7 across the equal sign, so I have to change their sign...
14x - 7x = 32 - 15 -- now combine terms
7x = 17 -- now divide both sides by 7
x = 17/7

- anonymous

A exactly one real solution,x= 2 3/7
B. no real solutions
C. exactly one real solution, x=17
D. infinite real solutions

- texaschic101

exactly one real solution....17/7 = 2 3/7....so A

- anonymous

okay

- anonymous

x/5 - 8 = 7

- anonymous

A x=90
B. x= -5
C.x=60
D. 75

- anonymous

D x=75 i mean

- texaschic101

x/5 - 8 = 7....add 8 to both sides
x/5 = 15....now multiply both sides by 5
x = 75

- anonymous

Find an expression equivalent to the one shown below. 12^7*12^negative 2

- anonymous

|dw:1443454440252:dw|

- anonymous

a12^9
b12^-14
c5^12
d12^5

- anonymous

Which value of x makes the following equation true? 2(x - 2) = -3x + 31
A.8
B.7
C.10
D.11

- texaschic101

12^7 * 12^-2 =
12^7 * 1/(12^2) =
(12^7) / (12^2) =
x^m/x^n = x^(m-n)
12^7/12^2 = 12^(7 - 2) = 12^5...so D

- texaschic101

2(x - 2) = -3x + 31
2x - 4 = -3x + 31
2x + 3x = 31 + 4
5x = 35
x = 7

- anonymous

Which of the following best describes the solution to the equation below?
10x + 17 = -24 + 10x
A.exactly one real solution, X= 1 9/20
b. exactly one real solution, x = -1 1/5
C.infinite real solutions
D. no real solutions

- texaschic101

10x + 17 = -24 + 10x
10x - 10x = -24 - 17
I can tell you right now there is no solutions to this one

- anonymous

Find an expression equivalent to the one shown below. 8^6*(8^8)^-4
A 8^26
B 8^38
C 1/838
D. 1/1826

- anonymous

do you know it

- texaschic101

no...sorry...kinda stuck on this one

- anonymous

The speed of light is 3 × 10^8 meters per second. What is this speed in standard form?
A.
3,000,000,000 meters per second
B.
30,000,000 meters per second
C.
300,000,000 meters per second
D.
300,000 meters per second

- texaschic101

its gonna be 3 with 8 zeros

- anonymous

since you're multiplying with exponents that have common bases, you should be able to simply add the exponents. 6 + 8 - 4 = 10, but 8^10 isn't there (referring to the one above)

- anonymous

c

- anonymous

i could look up the rules for parenthesis in this situation and get back to you on this if you'd like

- anonymous

The length of an object is measured as 85.9 centimeters. What is this measurement in scientific notation?
A. 8,590 × 10^2 centimeters
B.8.59 × 10^1 centimeters
C.0.859 × 10^2 centimeters
d. 859 × 10^1 centimeters

- texaschic101

yes...the speed of light one is C

- anonymous

ya can you do that @gahoolianowl

- texaschic101

85.9 = 8.59 x 10^1

- anonymous

Which shows the expression below simplified? (7 × 10^6) × 0.0005
A.
1.2 × 10^-24
B.
3.5 × 10^2
C.
3.5 × 10^3
D.
3.5 × 10^-24

- anonymous

Which shows the expression below in simplified form?
(5 × 10^4) × (7 × 10^-2)
A.
12 × 10^2
B.
3.5 × 10^1
C.
3.5 × 10^2
D.
3.5 × 10^3

- anonymous

you'd multiply the exponent of 8 by -4. 6 + (8 times -4). 6 + -32. final answer, 8^26

- texaschic101

7 x .0005 = .0035
.0035 x 10^6 = 3.5 x 10^3

- anonymous

whats the next one

- texaschic101

not sure

- anonymous

okay

- anonymous

im solving it. give me a moment please

- anonymous

Simplify the following expression. 4^-1 / 4^4
A.1/64
B.1,024
C.1/1,024
D. 64

- anonymous

anyone knows it

- anonymous

is it D

- anonymous

i think it's 3.5 x 10^3, but im not 100% possitive

- anonymous

is it D

- anonymous

okay no more i i need some help i will tag you

- anonymous

yes, it's D, btw

- texaschic101

4^-1 / 4^4 = 4^(-1 - 4) = 4^-5 = 1/4^5 = 1/1024

- anonymous

thx

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