Solving Exponents

Product of Powers

100

k(k³)

k⁴

200

(q²)(2q⁴)

2q⁶

300

2q²(9q⁴)

18q⁶

400

(5u⁴v)(7u⁴v³)

35u⁸v⁴

500

(5x²y)²(2xy³z)³(4xyz)

800x⁸y¹²z⁴

Power of a Power

100

(y⁴)⁶

y²⁴

200

(j⁵)⁴(k⁷)⁴

j²⁰k²⁸

300

(a³)⁴(a³)³

a²¹

400

(-2u²)(6u⁶)

-12u⁸

500

8(m³)²*12(m⁴)³

96m¹⁸

Power of a Product

100

(xy⁴)⁶

x⁶y²⁴

200

[(3²)²]²

3⁸

300

(4a⁴b⁹c)²

16a⁸b¹⁸c²

400

(-2f²g³h²)³

-8f⁶g⁹h⁶

500

(5k²m)³[(4km⁴)²]²

32,000k¹⁰m¹⁹

Quotient of Powers

100

[x⁴/4]³

x¹²/4³ = x¹²/64

200

[(x⁵y)/6]²

x¹⁰y²/36

300

[x³y⁴]/[x²y]

xy³

400

[k⁷m¹⁰p]/[k⁵m³p]

k²m⁷

500

[(4x³)/(5y⁴)]

(64x⁹)/(125y¹²)

Negative Exponents

100

(v^-3wx²)/(wy^-6)

(x²y⁶)/v³

200

(32a^-8b³c^-4)/(4a³b⁵c^-2)

8/(a¹¹b²c²)

300

(5j^-3k²m^-6)/(25k^-4m^-2)

k⁶/(5j³m⁴)

400

(r³t^-1x^-5)/(tx⁵)

r³/(t²x¹⁰)

500

(g⁰h⁷j^-2)/(g^-5h⁰j^-2)

g⁵h⁷