Grade 8, Topic 2 - Exponents

Special Exponents

100

What is 5 raised to the zero power?

1 (ONE)

200

What is three raised to the negative second power?

1/9 (One Ninth)

300

What is -3 RAISED to the third power?

-27

400

What is 14(6⁰)?

14

500

What is (b^-2 TIMES m³) if b= 6 and m=2 ?

8 over 36, which simplifies to 2 over 9

Scientific Notation

100

Rewrite 2.6 x 10⁵ in standard form.

260,000

200

Rewrite 51,000,000 in Scientific Notation.

5.1 x 10⁶

300

Rewrite 0.00052 in Scientific notation.

5.2 x 10^-4

400

Rewrite 1.94 x 10 RAISED to the fourth power in standard form.

194,000

500

What is 1.4 x 10¹⁰ TIMES 4.0 x 10^-4

5.6 x 10⁶

Multiplication Law of Exponents

100

x to the 3rd power multiplied by x

x to the fourth power

200

(4 to the 2nd power x 4 to the 3rd) simplify

What is 4 to the 5th power

300

Simplify... (k^-2g¹⁰,f^-5) TIMES (k^-3g^-6f⁴)

k^-5g⁴f^-1

400

Simplify... (p³m⁶j⁹) TIMES (p⁴m²j^-9)

p⁷m⁸

500

Simplify... N⁹ TIMES N³ divided by  N²

N¹⁰

Power to a Power Exponents

100

What is (x⁵)² ?

x¹⁰

200

What is (m to the -5th power) RAISED to the -3rd power ?

m to the 15th power

300

What is (b^-3)⁶ ?

b^-18 

400

simplify... (c³m⁵)⁴

c¹²m²⁰

500

What is (h^-2v⁸w)⁵ 

h^-10v⁴⁰w⁵

Division Law of Exponents

100

What is c to the 15th power DIVIDED by c to the 9th power?

c to the 6th power

200

What is m to the 6th power divided by m to the 10th power ?

one OVER m to the 4th power or m^-4

300

What is (m⁸n³)  DIVIDED BY  (m⁶n⁵)  ?

m²n^-2

400

What is (8.16 x 10⁹) - DIVIDED BY  (4 x 10^-5) to 

2.04 x 10¹⁴

500

Simplify... (w⁴y⁷b^-8)  DIVIDED BY  (y^-2b³)

(w to the fourth power, y to the 9th power) OVER (b to the 11th power)