Test 3 REVIEW Exponential Properties

Zero exponent rule

100

what is the zero exponent rule?

any base raised to a zero exponent is equal to one

200

9⁰ x

x

300

3x⁰y²

3y²

400

x⁰

1

500

4⁰ 5^-3

1/125

negative exponent rule

100

what is the negative exponent rule?

whenenver a base is raised to a negative exponent, you must rewrite using reciporical

200

x^-3

1/x^3

300

2^-2 x^-4

1/4x^4

400

a^-8 b^4

b^4/a^8

500

3^-2

1/9

product of a power property

100

what is the product of power property?

When multiplying powers having the same base, you add the exponents

200

2^2 2^9

2^11

300

(1/19)^10 (1/19)^25

1/19^35

400

(-4x)(-4x^3)(-4x^-12)

-64/x^8

500

(-9x)(4x^-1)

-36

quotient of a power property

100

what is Quotient of a power property?

to divide powers having the same base, subtract the exponents

200

x^6/x^4

x^2

300

7^-3 n^-2/k^0

1/343n^2

400

-6^-2 n^3/4k^-8

n^3/36k^8

500

9^-2 a/b^-2

ab^2/81

power to a power property

100

what is power to a power property?

Multiply all the exponents inside with the exponents outside.

200

(x^4)^6

x^24

300

(x^3b^6)^2

X^6b^12

400

(4x^3)^3

64x^9

500

(X^3a^2b^3)2

x^6a^4b^6