Simplified [( -2 ) ^2 × (-2) ^5 ÷ (-2)^3
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0
Answer:
Do not be tempted to simplify the indices. These are separate terms.
However, we can factorise and take out a common factor of
2
3
2
.
When you are dividing and the bases are the same, subtract the indices.
2
5
2
−
2
3
2
=
2
3
2
(
2
2
2
−
1
)
=
2
3
2
(
2
−
1
)
=
2
3
2
(
1
)
2
3
2
can also be written as:
2
2
2
+
1
2
=
2
×
2
1
2
=
2
√
2
Another approach to simplify this is:
2
3
2
=
√
2
3
=
√
8
=
√
4
×
2
=
2
√
2
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