Algebra - M3T1

Properties of Exponents

100

a⁰ = 1

What is the Zero Property?

200

5^-2 = 1/(5²)

What is Negative Exponents?

300

(2⁶)³ = 2¹⁸

What is Power to a Power?

400

5⁵/5² = 5³

What is Quotient of Powers?

500

(x³y⁵)² = x⁶y¹⁰

What is Product to a Power?

Evaluate Exponential Functions

100

f(x) = (1/3)(6)^x at x=2

What is 12?

200

f(n)=(10)(2)ⁿ at n=5

What is 320?

300

h(x) = 100(1/2)^x at x = 2.

What is 25?

400

f(n)=(10)(2)ⁿ at n=-2

Answer must be an improper fraction! (Not a mixed number)

What is 5/2?

500

g(x)=(1/5)(1/3)^x at x=3

Answer must be in fraction form!

What is 1/135?

Vocabulary

100

The location where the graph crosses the y-axis.

What is the y-intercept?

200

The factor used in the repeated multiplication.

What is the base?

300

The number of times you use the base as a factor.

What is an exponent?

400

An exponential expression written as a product of factors.

What is expanded form?

500

The number you multiply by to get the next term in a geometric sequence.

What is the common/constant ratio?

Geometric Explicit to Exponential Form

100

g_n=4(2)^n-1 in exponential form

What is f(x) = 2(2)^x? 

200

g_n = 100(2)^n-1

What is f(x) = 50(2)^x?

300

g_n = 6(1/3)^n-1

What is f(x) = 18(1/3)^x?

400

g_n = -3(1/2)^n-1

What is f(x) = -6(1/2)^x?

500

g_n = 5(2)^n-1

No decimals! 

What is f(x) = (5/2)(2)^x?

Simplifying

100

(x⁴y⁶) / (x²y³)

What is x²y³? 

200

4v³(vu²)

What is 4v⁴u²? 

300

((2x^-2y⁶) / (x⁴y²))²

What is (4y⁸) / x¹² ?

400

(4x²y³xz⁴y⁵x²)²

What is 16x¹⁰y¹⁶z⁸?

500

((4x²y^-3z^-2)⁴ / (2²z⁵y^-1)⁸)⁰

What is 1?