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Problems
Let
A
=
(
2
5
×
16
3
2
8
−
2
)
÷
(
4
3
×
32
−
1
)
.
A=\left(\frac{2^{5}\times16^{\frac{3}{2}}}{8^{-2}}\right)\div\bigl(4^{3}\times32^{-1}\bigr).
A
=
(
8
−
2
2
5
×
1
6
2
3
)
÷
(
4
3
×
3
2
−
1
)
.
…
Mathematics
Problem
Let
A
=
(
2
5
×
16
3
2
8
−
2
)
÷
(
4
3
×
32
−
1
)
.
A=\left(\frac{2^{5}\times16^{\frac{3}{2}}}{8^{-2}}\right)\div\bigl(4^{3}\times32^{-1}\bigr).
A
=
(
8
−
2
2
5
×
1
6
2
3
)
÷
(
4
3
×
3
2
−
1
)
.
(i) Express every numerical factor in
A
A
A
as a power of
2
2
2
. (ii) Simplify step by step to write
A
A
A
in the form
2
k
2^{k}
2
k
and determine the value of
k
k
k
. (iii) Hence find the numerical value of
A
A
A
.
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