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Indices
Rules
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Created by
Rachel Stickney
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Cards (9)
What is the rule for multiplying indices?
a<
sup
>m</sup> x a<sup>n</sup> = a<sup>m+n</sup>
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How do you simplify a fraction with indices?
a<sup>m</sup>/a<sup>n</sup> = a<sup>
m-n
</sup>
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If you have
2
3
x
5
3
2^3 x 5^3
2
3
x
5
3
, what is the simplified form?
10<sup>3</sup>
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What happens to the base when you divide indices?
The base remains the same; the
exponents
subtract
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What are the two main rules of indices?
a<sup>m</sup>
x
a<sup>n</sup>
= a<sup>
m+n
</sup>
a<sup>m</sup>/a<sup>n</sup> = a<sup>
m-n
</sup>
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What is the first rule of indices?
Add the indices when
multiplying
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How do you apply the first rule of indices?
By adding the indices with the same
base
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What is the result of
x
3
⋅
x
4
x^3 \cdot x^4
x
3
⋅
x
4
using the first rule of indices?
x
7
x^7
x
7
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What does the first rule of indices state?
When multiplying indices with the same
base
:
Add the indices
together
.
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