Lesson 6.1AIM: Understanding

Multiplication of Exponents

Zero Exponents

• Anything to the power of 0 equals 1.

Negative Exponents

• If you want to get rid of a negative exponent, move it to the top or bottom of the fraction.

Multiplying Exponents

• If you are multiplying bases with exponents, ADD THE EXPONENTS.

35 x 34 = 39

h2 x h9 = h11

(3d-4)(5d8)

• Multiply the Coefficients (3x5)

• Add the Exponents (-4+8)

(3d-4)(5d8) = 15d4

p7 • q5 • p6

• Add the exponents for the same bases.

p7 • q5 • p6 = p13 q5

• Add the exponents.

• Make the exponent positive.€

1

b−7 • b5

€

1

b−2

€

b2

€

1

b−2=

5-6 • 54

• Add the exponents.

5-6 • 54 = 5-2

• Make the exponent positive.

5-2 =

€

1

52

€

=1

25

(7 x 107)(5 x 10-5)

• Multiply the Coefficients

• Then add the Exponents

(7 x 107)(5 x 10-5)

= 35 x 102

(7.2 x 10-7)(2 x 10-5)

• Multiply the Coefficients

• Then add the Exponents

(7.2 x 10-7)(2 x 10-5)

= 14.4 x 10-12

(2.1 x 10-4)(4 x 10-7)

• Multiply the Coefficients

• Then add the Exponents

(2.1 x 10-4)(4 x 10-7)

= 8.4 x 10-11

(7 x 106)(4 x 109)

• Multiply the Coefficients

• Then add the Exponents

(7 x 106)(4 x 109)

= 28 x 1015