7-2 Jeopardy

Multiplying with the Same Base

100

2³ x 2²

2⁵

200

37²  x 37 ^-2

37⁰ / 1

300

300^-2 ⋅ 300²⁰²

300²⁰⁰

400

300^-5 × 300⁴⁵

300⁴⁰

500

3000^474737437 × 3000^-4747374237

1

Multiplying Powers in Algebraic Expressions

100

x² × x³

What is x⁵?

200

x⁵ × x^-6

x^{-1  or 1/x}

300

wxyz × xy²

wx²y³z

400

(5x⁵)(3y⁶)(3x²)

45x⁷y⁶

500

-m² ⋅ 4r³ ⋅ 12r^-4 ⋅ 5m

-240m³/r

Multiplying with Scientific Notation

100

0.01 × 10⁵

What is 1000?

200

the ³ in 0.03 x 10³ means this

What is how many times do you move the decimal point? Postive is right, negative is left or fractioned

300

How many zeros are in 500 billion

11

400

the number of zeros in 1 googol

What is 100?

500

{[3(8) x 10²] + 1^-9999 (200 x 10^-2) } - 2 = x

What is x?

x = 2400

Simplifying Expressions with Rational ExponentsPart 1

100

4^1/2

What is 2?

200

2^4/3

16

300

(81^3/4)^-1

1/27

400

(900^1/2)²

900

500

56375^8/8

56375

Simplifying Expressions with Rational Exponents Part 2

100

x² × x² 

x⁴

200

2x × 3y

6xy

300

64^1/2x × 3y²

24xy²

400

(8b^2/3 ⋅ 9t^1/5)(8b^5/3 ⋅ 9t^3/5)

5184b^8/3t^4/5

500

(7d^3/2 × 2g^5/6)(2g^3/2 × 7d^5/6)

196d^7/3g^7/3