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Mathematics
Problem
Complete the following proof for
a
>
0
a>0
a
>
0
to show that
(
a
4
)
3
=
a
3
/
4
(\sqrt[4]{a})^3 = a^{3/4}
(
4
a
)
3
=
a
3/4
. a. (i) Rewrite
a
4
\sqrt[4]{a}
4
a
in exponent form. b. (ii) Using your answer from part (i), express
(
a
4
)
3
(\sqrt[4]{a})^3
(
4
a
)
3
in exponent form and simplify.
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