Simplify each of the following and express each as a rational number: i) ( 2 3 ) 4 × ( 3 4 ) 2
Answers
Answered by
0
Answer:
(32)2×(5−3)3×(27)2=94×125−27×449=125147
Answered by
1
Answer:
{( \frac{2}{3} )}^{ 3} \times {( \frac{3}{5}) }^{4} \times { (\frac{7}{2}) }^{3}(
3
2
)
3
×(
5
3
)
4
×(
2
7
)
3
= \frac{8}{27} \times \frac{81}{625} \times \frac{343}{8}=
27
8
×
625
81
×
8
343
= \frac{1029}{625}=
625
1029
{ (\frac{ - 1}{3} )}^{5} \times {3}^{3} \times {( \frac{3}{4} )}^{2}(
3
−1
)
5
×3
3
×(
4
3
)
2
= - \frac{1}{243} \times 27 \times \frac{9}{16}=−
243
1
×27×
16
9
= - \frac{1}{16}=−
16
1
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