Easy Algebra Step-by-Step

48 Easy Algebra Step-by-Step

Step 2. Do the multiplication.

3

4

3

4

3

4

3

4

27

64

3

⎛

⎝

⎛⎛⎛⎛

⎝⎝

⎛⎛⎛⎛ ⎞

⎠

⎞⎞⎞⎞

⎠⎠

⎞⎞⎞⎞ =⋅⋅=

e. 0100

Step 1. Because 0100 has 0 as a factor 100 times, the product is 0.

00100

f. 13

Step 1. Write 13 in product form.

13 = 1111

Step 2. Do the multiplication.

13 = 1111 1 = 1

g. ()^3

Step 1. Add 1 and 1 because you want to cube the quantity 11. (See

Chapter 5 for a discussion of parentheses as a grouping symbol.)

()^113 =^23

Step 2. Write 23 in product form.

23 = 2222

Step 3. Do the multiplication.

23 = 2222 2 = 8

Zero and Negative Integer Exponents

Zero Exponent

If x is a nonzero real number, then x^0 = 1.

A zero exponent on a nonzero number tells you

to put 1 as the answer when you evaluate.

P

()^113 ≠+^111331. ()^113 =^2283 ,but

11331 =+= 11112.

00 is undefi ned; it has no meaning.

000 ≠.

x^0 ≠ 0 ; x^0 = 1 , provided x≠0.