Standard 8.EE.1 – Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^{2} × 3^{-5} = 3^{-3} = 1/3^{3} = 1/27

Vocabulary for this standard: base, exponent, coefficient, negative exponent, the multiplicative property of exponents, the division power of exponents, powers of powers

EngageNY lesson link – This appears in the first module of the EngageNY curriculum as a standalone topic.

Quick thoughts: This is a crucial concept to understand, conceptually understanding that an exponent is a quantity of multiplications and is treated differently from a coefficient.

A

**base**is a number or expression being multiplied in an exponentAn

**exponent**is a number that describes how many times to use the number in a multiplication.A

**coefficient**is a number used to multiply a variable.A

**negative exponent**expresses that the base is the denominator of a fraction instead of the numeratorThe

**multiplicative property of exponents**says that when you multiply powers with the same base you just have to add the exponentsThe

**division property of exponents**says that when you divide powers with the same base you just have to subtract the exponentsThe

**power of a power property**says that when you raise an exponent to another power, you just have to multiply the exponentsVocab

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