Exponent Laws

Mixed!

100

solve (x²)(x⁴)(x⁹)

x¹⁵

200

Write the following in exponential form:  b(9²)⁵

9¹⁰b

300

solve (5¹³c^-7) ÷ (5⁹c²)

5⁴c^-9 or 625c^-9

400

solve [(m²)(m⁴)] ÷ m³

m⁶ / m³ = m³

500

Write the following in exponential form AND standard form:  (2^-4)(2²)⁴

(2^-4)(2⁸) = 2⁴ = 16

More Mixed!

100

solve 374⁰

1

200

Write in standard form:

13³

2197

300

Write in exponential form:

2 * 2 * 2 * 2 * h * f * f * w * w * w

2⁴hf²w³

400

Solve for x:

5⁴ * 5^x * 5¹² = 5¹⁴

5⁴ * 5^-2 * 5¹² = 5¹⁴

4 + -2 + 12 = 14

x = -2

500

Write in exponential form:

-3 * -3 * c * c * c * r * r * r * r

(-3)²c³r⁴

Power to a Power

100

define the power to a power rule

Keep the base, multiply the exponents

200

solve (5²)³

5⁶

300

solve (x⁵y³)⁴

x²⁰y¹²

400

solve (3³z)⁵

3¹⁵z⁵

500

solve (5a²b³c⁴)⁵

5⁵a¹⁰b¹⁵c²⁰ or 3,125a¹⁰b¹⁵c²⁰

Multiplying Powers

100

define the multiplying powers rule

Keep the base, add the exponents

200

Write in exponential form:

2⁵ * 2⁴

2⁹

300

Write in exponential form:

4³ * 4⁵ * 4⁶

4¹⁴

400

Write in exponential form:

h⁵ * h^-3

h²

500

Simplify:

5x³ * 7x⁸

35x¹¹

Dividing Powers

100

define the dividing powers rule

Keep the base, subtract the exponents

200

solve 4⁶ ÷ 4³

4³

300

solve 2⁴ ÷ 2⁸

2^-4

400

solve x⁷y⁴ ÷ x⁵y²

x²y²

500

solve 4x⁸y⁴ ÷ 2x⁶y⁹

2x²y^-5