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Mathematics
Mathematics
Problem
(i) Simplify the expression
(
0.5
a
−
3
b
2
)
−
2
×
(
4
a
b
−
5
)
3
.
(0.5\,a^{-3}b^{2})^{-2}\times(4a\,b^{-5})^{3}.
(
0.5
a
−
3
b
2
)
−
2
×
(
4
a
b
−
5
)
3
.
(ii) Using your simplified form, find the numerical value of the expression when
a
=
2
a=2
a
=
2
and
b
=
1
2
b=\dfrac12
b
=
2
1
. Write each answer with positive exponents only.
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