A 2-column table with 7 rows. Column 1 is labeled Power of 3 with entries 3 cubed, 3 squared, 3 Superscript 1, 3 Superscript 0, 3 Superscript negative 1, 3 Superscript negative 2, 3 Superscript negative 3. Column 2 is labeled Value with entries 27, 9, 3, a, b, StartFraction 1 Over 9 EndFraction, c.

Answer these questions about the powers of 3.

What is the pattern as the exponents decrease?

What is the value of each variable?

a =

b =

c =

a=1, b=1/3, c=1/27

Step-by-step explanation:

The table is given below:

(a)As the exponents decrease, the next term is gotten by a division of the previous term by 3.

(b)

a=1, b=1/3, c=1/27

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.