ASVAB Math Knowledge

Law of Exponents

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Notes: Laws of Exponents

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Multiplying Powers

When you multiply terms with the same base, you add the exponents.

Dividing Powers

When you are dividing terms with the same base, you subtract the exponents.

Negative Powers

When you see a negative power, you can flip the component between the numerator (top) and denominator (bottom). 

Powers of Powers

When you have powers of powers, you will multiply the exponents.

Roots of Powers

When you have roots of powers, you will divide the exponents. Leave any remainders in the root. 

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