Rewrite Exponential Expressions Using Exponents
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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QUESTION
Rewrite
1.21
t
1.21^t
1.2
1
t
to show a quarterly factor raised to
4
t
4t
4
t
.
QUESTION
State the exponent rule that rewrites
(
a
m
)
n
(a^m)^n
(
a
m
)
n
as a single power.
QUESTION
Rewrite
8
t
3
8^{\frac{t}{3}}
8
3
t
as a power with exponent
t
t
t
.
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ANSWER
8
t
3
=
2
t
8^{\frac{t}{3}} = 2^t
8
3
t
=
2
t
. Since
8
=
2
3
8 = 2^3
8
=
2
3
, we get
(
2
3
)
t
/
3
=
2
t
(2^3)^{t/3} = 2^t
(
2
3
)
t
/3
=
2
t
.
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