pre-algebra. lesson 4-8 warm-up pre-algebra how do you divide powers with the same base? rule: when...
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PRE-ALGEBRA
PRE-ALGEBRA
Lesson 4-8 Warm-Up
PRE-ALGEBRA
How do you divide powers with the same base?
Rule: When you divide numbers with the same base, subtract the exponents.
Example: = a2 am = am - n
an
Exponents and Division (4-8)
PRE-ALGEBRA
Simplify each expression.
a.
b.w18
w13
= 44 Simplify the exponent.
= 256 Simplify.
= w5 Simplify the exponent.
412
48
412
48 = 412 – 8 Subtract the exponents.
= w18 – 13w18
w13 Subtract the exponents.
Exponents and DivisionLESSON 4-8
Additional Examples
PRE-ALGEBRA
Simplify each expression.
a. (–12)73
(–12)73
= 1
= (–12)0 Simplify.
b. 8s20
32s20
(–12)73
(–12)73 = (–12)73 – 73 Subtract the exponents.
14= • 1 Simplify s0.
14= Multiply.
832
8s20
32s20
14= Subtract the exponents. Simplify .s0
Exponents and DivisionLESSON 4-8
Additional Examples
PRE-ALGEBRA
Simplify each expression.
a. 612
614
b. z4
z15
= 6–2
612
614 = 612 – 14 Subtract the exponents.
= 162 Write with a positive exponent.
136= Simplify.
= z–11
z4
z15= z4 – 15 Subtract the exponents.
= 1z11
Write with a positive exponent.
Exponents and DivisionLESSON 4-8
Additional Examples
PRE-ALGEBRA
Write without a fraction bar.a2b3
ab15
a2b3
ab15 = a2 – 1b3 – 15 Use the rule for Dividing Powers with the Same Base.
= ab–12 Subtract the exponents.
Exponents and DivisionLESSON 4-8
Additional Examples
PRE-ALGEBRA
Simplify each expression.
x4
x9a.
Simplify the exponents.= x–5
Rewrite using positive exponents. 1 x5=
p3 j –4
p–3 j 6
= p6 j –10 Simplify.
Rewrite using positive exponents.p6
j10=
b.
=Subtract exponents when dividing powers with the same base.
x4 – 9
=Subtract exponents when dividing powers with the same base.
p3 – (–3)j –4 – 6
LESSON 4-8
Additional Examples
Exponents and Division
PRE-ALGEBRA
Simplify each expression.
1. 2.
3. Write without a fraction bar.
75
73
–15b5c3
60b3c2
6n14
3n24
4914– b2c
2n–10
Lesson Quiz
Exponents and DivisionLESSON 4-8