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 times (-6 RAISED to the zero power)?

14

500

What is (b Raised to the negative second power TIMES m raised to the third power) if b= 6 and m=2 ?

8 over 36, which simplifies to 2 over 9

Scientific Notation

100

Rewrite 2.6 x 10 RAISED to the fifth power in standard form?

260,000

200

Rewrite 51,000,000 in Scientific Notation.

5.1 x 10 RAISED to the seventh power

300

Rewrite 0.00052 in Scientific notation.

5.2 x 10 RAISED to the negative fourth power.

400

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

19,400

500

What is 1.4 x 10 RAISED to the tenth power TIMES 4.0 x 10 RAISED to the negative 4?

5.6 x 10 RAISED to the sixth power

Multiplication Law of Exponents

100

Simplify: x to the 3rd power multiplied by x

x to the fourth power

200

Simplify:(4 to the 2nd power x 4 to the 3rd)

What is 4 to the 5th power

300

Simplify... (k to the negative 2nd power, g to the 10th power, f to the negative 5th power) TIMES (k to the negative 3rd power, g to the negative 6th power, f to the 4th power)

k^-2 g¹⁰ f^-5 x k^-3 g^-6 f⁴

(g to the 4th power) OVER (k to the 5th power, f)

g⁴

____

k⁵ f¹

400

Simplify... (p to the 3rd power, m to the negative 6th power, j to the 9th power) TIMES (p to the 4th power, m to the 2nd power, j to the negative 9th power)

p³ m^-6 j⁹ x p⁴ m² j^-9

p to the 7th power OVER m to the 8th power

500

Simplify... N to the negative 9th power TIMES N to the 3rd power TIMES N to the 2nd power

n^-9 x n³ x n²

N to the negative 4th power

n^-4

Power to a Power Exponents

100

What is (x to the 5th power) raised to the 2nd power ?

(x⁵)²

x to the tenth power

x¹⁰

200

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

(m^-5)^-3

m to the 15th power

m¹⁵

300

What is (b to the -3rd power) RAISED to the 6th power ?

(b^-3)⁶

b to the -18th power

b^-18

400

simplify... (c to the negative 3rd power, m to the 5th power) RAISED to the 4th

(c^-3m⁵)⁴

c to the negative 12th power, m to the 20th power

c^-12m²⁰

500

What is (h to the negative 2nd power, v to the 8th power, w to the 1st power) all RAISED to the 5th power ?

(h^-2v⁸w¹)⁵

h to the negative 10th power, v to the 40th power, w to the 5th power

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

300

What is (m to the 8th power times N to the 3rd) - DIVIDED BY - (m to the 6th power times N to the 5th) ?

M to the 2nd power OVER N to the 2nd

400

What is (8.16 x 10 to the 9th power) - DIVIDED BY - (4 x 10 to the negative 5th power) ?

2.04 x 10 to the 14th power

500

Simplify... (w to the 4th, y to the 7th, b to the negative 8th) - DIVIDED BY - (y to the negative second power, b to the third power)

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