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Mathematics
Indices and Surds
Powers and Roots
Index Laws
Index Laws
What You Need to Know
Understand and apply the multiplication law of indices:
a
m
×
a
n
=
a
m
+
n
a^m \times a^n = a^{m+n}
a
m
×
a
n
=
a
m
+
n
.
Understand and apply the division law of indices:
a
m
÷
a
n
=
a
m
−
n
a^m \div a^n = a^{m-n}
a
m
÷
a
n
=
a
m
−
n
.
Understand and apply the power law of indices:
(
a
m
)
n
=
a
m
n
(a^m)^n = a^{mn}
(
a
m
)
n
=
a
mn
.
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Calculating Powers and Roots
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Standard Form Notation