Evaluate : (23)2 [(23)2]0
Answers
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Step-by-step explanation:
Given (
3
−2
)
−3
×(
3
−2
)
−2
According to a
−m
=(
a
m
1
) we can write above equation as
(
3
−2
)
−3
×(
3
−2
)
−2
=(
−2
3
)
3
×(
−2
3
)
2
Now apply the first law of exponents i.e. (
b
a
)
m
×(
b
a
)
n
=(
b
a
)
m+n
[∵ Base in same in above equation]
We get (
−2
3
)
3
×(
−2
3
)
−2
=(
−2
3
)
3+2
=(
−2
3
)
5
But we know that 3
5
is 243 and 2
5
is 32
∴(
−2
3
)
5
=
−32
243
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