simplify
(-243)²/⁵ (x-³)²/³
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Step-by-step explanation:
Explanation:
With this type of question, see that an exponent in the form of
a
b
means that we should take the base number to the
a
power and also take the
b
th root.
In our case, we're being asked to take -243 to the 3rd power and also to take the 5th root. This will be easier if we first see that:
−
243
=
(
−
3
)
5
And so we can rewrite our question as
(
−
243
)
3
5
=
(
(
−
3
)
5
)
3
5
We can now apply the rule that
(
x
a
)
b
=
x
a
b
(
(
−
3
)
5
)
3
5
=
(
−
3
)
5
×
(
3
5
)
=
(
−
3
)
3
=
−
27
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