What is the missing power?

a) 10

b) 10000

c) 100

d) 1000

Step-by-step explanation:

With 0.80 × 10, we move the decimal up one place, so it equals 8.0 or 8

10000 × 0.002, we move the decimal up four places, so it equals 0020.0 or 20

0.04 × 100, we move the decimal up two places, so it equals 04.0 or 4

Lastly, 1000 × 0.5, we move the decimal up three places, so it equals 500.0 or 500

Using the powers of ten, we either move the decimal up or down according to the number of zeros.

step-by-step explanation:

b and c

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)