Question

What is the simplified form of each expression? (1 point)

1.) -(10)^-1

-1/10
-1/1^10
1/10
10

2.) 1/c^-5 (1 point)

c^5
5c
-c^5
-5/c

3.) What is the value of y^-5/x^-3 for x = 2 and y = -4? (1 point)

10/3
128
-1/128
-128

4.) Is the number written in scientific notation if not, explain. 5.1 x 10^8 (1 point)

Yes; the number is written in scientific notation.
No; the first factor is not a number between 1 and 10.
No; it is not written as a number times a power of 10.

5.) What is the number written in a standard notation? (1 point)

5.71 x 10^-3

-171.3
0.0571
0.000571
0.00571

6.) Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? what is the order of the hairs from least to greatest diameter? (1 point)

Who ever is good at math please ''Try'' to help me out here?! :D And Thank you so much if ya do! :P

Answer 1

1.
-(10)⁻¹ = -1/10
Answer: - 1/10

2.
1/c⁻⁵ = c⁵
Answer: c⁵

3.

`(y^(-5))/(x^(-3)) = (x^(3))/(y^(5))`
When x = 2 and y = -4, obtain
2³/(-4)⁵ = 8/-1024 = -1/128
Answer: -1/128

4.
5.1 x 10⁸ is written in scientific notation.
Answer: Yes; the number is written in scientific notation.

5.
5.71 x 10⁻³ = 0.00571 (in standard notation)
Answer: 0.00571

6.
The given diameters are
1.7 x 10⁻⁴, 1.4 x 10⁻³, 1.2 x 10⁻⁵, 1.9 x 10⁻⁴ cm
In ascending order, they are
1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³ cm
Answer: 1.2 x 10⁻⁵, 1.7 x 10⁻⁴, 1.9 x 10⁻⁴, 1.4 x 10⁻³