Simplify and give the answer in exponential form: (a⁸xa⁷xa⁴xa³)-²
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Answer:
3
4
×a
5
×5
3
×b
2
9
3
×a
7
×15
2
×80×b
5
=
3
4
×a
5
×5
3
×b
2
(3
2
)
3
×a
7
×(3×5)
2
×(2×5×2
3
)×b
5
3
4
×a
5
×5
3
×b
2
3
6
×a
7
×3
2
×5
2
×2
4
×5
1
×b
5
since (a
m
)
n
=a
mn
and (ab)
m
=a
m
b
m
=
3
4
×a
5
×5
3
×b
2
3
6+2
×a
7
×5
2+1
×2
4
×b
5
Since a
m
a
n
=a
m+n
=
3
4
×a
5
×5
3
×b
2
3
8
×a
7
×5
3
×2
4
×b
5
=3
8−4
×a
7−5
×5
3−3
×2
4
×b
5−2
Since
a
n
a
m
=a
m−n
=3
4
×a
2
×5
0
×2
4
×b
3
=3
4
a
2
×2
4
b
3
since 5
0
=1
=(3×2)
4
a
2
b
3
since a
m
b
m
=(ab)
m
=6
4
a
2
b
3
=1296a
2
b
3
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