Unit 8 Jeopardy

Multiplying Exponents

100

Simplify. Write your answer with a base and exponent.

x⁴ ⋅ x⁷ ⋅ x³

x¹⁴

200

Simplify. Write your answer with a base and exponent.

g⁶h⁵ ⋅ g⁷h²

g¹³h⁷

300

Simplify. Write your answer with bases and exponents.

(3²df ⁶)(3³df ^-1)

3⁵d²f⁵ or 243d²f⁵

400

Simplify. Write your answer with bases and exponents.

(8np)(2³n^-1p⁰)

2⁶p or 64p

500

Simplify. Write your answer with bases and exponents.

(-2)⁶g^-3h⁰ ⋅ (-2)^-3g² ⋅ gh

(-2)³h or -8h

Power of a Power/Product

100

Simplify. Write your answer with bases and exponents.

(r⁵)⁶

r³⁰

200

Simplify. Write your answer with bases and exponents.

(w⁵x³)⁴

w²⁰x¹²

300

Simplify. Write your answer with bases and exponents.

(3xy³z⁰)²

3²x²y⁶ or 9x²y⁶

400

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

(5²a⁷b^-4)³

5⁶a²¹/b¹² or 15625a²¹/b¹²

500

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

(4³c^-5d)^-2

c¹⁰/4⁶d² or c¹⁰/4096d²

Dividing Exponents

100

Simplify. Write your answer with bases and exponents.

4⁸ / 4⁶

4²

200

Simplify. Write your answer with bases and exponents.

a⁵b⁹ / ab³

a⁴b⁶

300

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

w²x⁹ / w⁵x³

x⁶ / w³

400

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

r¹¹s^-3/ s³

r¹¹ / s⁶

500

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

(-2)⁶gh^-3 / (-2)^-1g^-2h⁵

(-2)⁷g³ / h⁸

Negative Exponents

100

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

9^-3

1 / 9³ or 1 / 729

200

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

1 / x^-1

x

300

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

g^-5 / g⁷

1 / g¹²

400

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

16q⁰r^-9 / 2³r^-11s^-3

2r²s³

500

Simplify. Write your answer with bases and exponents. Negative exponents must be simplified.

(4^-1x⁵)^-2 / 2x⁵

8 / x¹⁵

Scientific Notation

100

Write the number in scientific notation.

53,000

5.3 x 10⁴

200

Write the number in standard form.

1.24 x 10^-5

0.0000124

300

a. Which number is largest? Write your answer in standard form.

236,000, 4.45 x 10⁴, 3.9 x 10⁵

b. Which number is smallest? Write your answer in standard form.

8.01 x 10^-3, 9.11 x 10^-4 0.00126

a. 390,000

b. 0.000911

400

Divide. Write your answer in both scientific notation and standard form.

(4.8 x 10¹⁵) / (2 x 10¹²)

2.4 x 10³

2,400

500

Multiply. Write your answer in both scientific notation and standard form.

(5.5 x 10³)(3.1 x 10⁵)

1.705 x 10⁹

1,705,000,000