Easy Algebra Step-by-Step

Exponentiation 47

d.^3

4

⎛^3

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

e. 0100

f. 13

g. ()^3

Solution

a. 25

Step 1. Write 25 in product form.

25 = 22222222222

Step 2. Do the multiplication.

25 = 22222222222 = 32

b. ()^5

Step 1. Write ()−^5 in product form.

()−^5 =− 22222 ⋅−⋅− ⋅− ⋅−

Step 2. Do the multiplication.

()−^5 =− 22222 ⋅−⋅− ⋅− ⋅− =− 32

c. (.. 6 )^2

Step 1. Write () 06.^2 in product form.

2

()^06.^6 =()^060. ()^06.

Step 2. Do the multiplication.

() 06. 62 =() 060. () 06. 6 = 003. 6

d.

3

4

⎛^3

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

Step 1. Write

3

4

3

⎛

⎝

⎛⎛⎛⎛

⎝⎝

⎛⎛⎛⎛ ⎞

⎠

⎞⎞⎞⎞

⎠⎠

⎞⎞⎞⎞ in product form.

3

4

3

4

3

4

3

4

3

⎛

⎝

⎛⎛⎛⎛

⎝⎝

⎛⎛⎛⎛ ⎞

⎠

⎞⎞⎞

⎠⎠

⎞⎞⎞⎞ =⋅⋅