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Mathematics
Mathematics
Problem
Simplify the following expression completely, leaving no negative or fractional exponents in the final answer: (a) Evaluate
(
3
2
)
4
(3\sqrt{2})^{4}
(
3
2
)
4
. (b) Evaluate
(
6
2
)
3
(6\sqrt{2})^{3}
(
6
2
)
3
. (c) Hence, simplify the quotient
(
3
2
)
4
×
6
2
(
6
2
)
3
.
\frac{(3\sqrt{2})^{4}\times 6^{2}}{(6\sqrt{2})^{3}}.
(
6
2
)
3
(
3
2
)
4
×
6
2
.
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