5.7 Rational Exponents
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Date____________________ HW Honors p261 (22-64) evens Regular p261(22-62) evens Notes Section 5.7 – Rational Exponents Write expressions with rational exponents in radical form, and vice versa. Simplify expressions in exponential or radical form.
• •
EXPONENTIAL FORM → RADICAL FORM 1
n
bn 1 4
a _________
RADICAL n
b
_________
→ EXPONENTIAL 1
b
bn 3
y
Directions: Evaluate each expression EX1.
ST1.
a.) 16
−1 4
a.) 49
___________________ 3
−1 2
_____________________ 2
b.) 243 5
b.) 32 5
___________________ _____________________ SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS EX2.
ST2. 1 5
a.) x ⋅ x
7 5
___________________
1
4
a.) x 7 ⋅ x 7
_____________________
b.) y
−3 4
___________________
b.) x
−2 3
_____________________
Directions: Simplify EX3.
ST3.
8
a.)
81
6
3
6
a.)
3
16 2
___________________
_____________________
b.)
b.)
4
9z 2
___________________
c.)
1 2
m −1 1 2
m +1
___________________
6
4x 4
_____________________ 1
c.)
y 2 +1 1 2
y −1
_____________________
• •
EXPONENTIAL FORM → RADICAL FORM 1
n
bn 1 4
a _________
RADICAL n
b
_________
→ EXPONENTIAL 1
b
bn 3
y
Directions: Evaluate each expression EX1.
ST1.
a.) 16
−1 4
a.) 49
___________________ 3
−1 2
_____________________ 2
b.) 243 5
b.) 32 5
___________________ _____________________ SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS EX2.
ST2. 1 5
a.) x ⋅ x
7 5
___________________
1
4
a.) x 7 ⋅ x 7
_____________________
b.) y
−3 4
___________________
b.) x
−2 3
_____________________
Directions: Simplify EX3.
ST3.
8
a.)
81
6
3
6
a.)
3
16 2
___________________
_____________________
b.)
b.)
4
9z 2
___________________
c.)
1 2
m −1 1 2
m +1
___________________
6
4x 4
_____________________ 1
c.)
y 2 +1 1 2
y −1
_____________________
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