$5 × 5 × 5 × 5 = 625$ $\rightarrow5^4 = 625$

5 is called the base. 4 is called the index. 625 is called the basic numeral.

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$x^n$$\ = x × x × x × . . . × x × x$ (where $n$ is a positive integer) n factors

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Law 1

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When multiplying terms, add the indices**:** $x^m×x^n=x^{m+n}$.

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Law 2

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When dividing terms, subtract the indices:$\ x^m÷x^n=x^{m-n}$.

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Law 3

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For powers of a power, multiply the indices: $(x^m)^n$= $x^{mn}$.

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Law 4

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$x^0=1$.

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Ex 1.

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Ex 2.

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