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Exponents Worksheet

1. x • x = x2
Rewrite x • x with exponents.
x1x1

Bases are the same. Keep the base and add the exponents.
x1x1 = x1+1 = x2

2. x + x = 2x
x + x is not the same as x • x. This exercise requires addition of terms, not multiplication.

x + x = 1x + 1x = 2x

3. a4b4= a4b4
Because the bases are different (a and b), don't add the exponents.
a4b4 = a4b4

4. a-2a6= a4
Bases are the same. Keep the base and add the exponents.
a-2a6 = a-2+6 = a4

5. (xyz)5 • (xyz)15= (xyz)20
Bases are the same. Keep the base and add the exponents.
(xyz)5 • (xyz)15 = (xyz)5+15 = (xyz)20

6. (20e)(20e)= 400e2
Rewrite (20e)(20e) with exponents.
(20e1)(20e1)

Bases are the same. Keep the base and add the exponents. (Remember to multiply 20 and 20.)
(20e1)(20e1) = 20* 20 * e1 *e1 = 400 *e1+1 = 400e2

7. (12 + y)30 • (12 + y)8 = (12 + y)38
Bases are the same. Keep the base and add the exponents.
(12 + y)30 • (12 + y)8 = (12 + y)30+8 = (12 + y)38

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