Rules of Exponents

Product of a Power

100

(x)(x)(x)(x)(x)(x)(x)(x)

x⁸

200

(x⁸ )(x⁹)

x¹⁷

300

(3²)(3⁵)

3⁷=2187

400

(2x⁵)(5x⁹)(3x)

30x¹⁵

500

(x³y⁴)(x⁴y)(x⁵y⁶)

x¹²y¹¹

Power of a Product

100

(x²)³

x⁶

200

(x³y²)⁴

x¹²y⁸

300

(-2z⁵)(4z^-3)

-8z²

400

(mn²)²(m³)⁴

m¹⁴n⁴

500

(6a³b^-2)(-4ab⁸)

-24a⁴b⁶

Quotient of Powers

100

5⁶/5³

5³

200

m^-3/m^-5

m²

300

x⁶y⁹/x²y⁵

x⁴y⁴

400

25x⁷/5x⁶

5x

500

x^-2y⁵z⁹/x^-5y^-3z^-4

x³y⁸z¹³

Power of a Quotient

100

(3/4)³

27/64

200

(3x/2y)³

27x³/8y³

300

(4/7)^-2

49/16

400

(ab³/a⁵b)^-2

a⁸/b⁴

500

5(5⁵/5²)

625

Negative Exponents

100

x^-4

1/x⁴

200

x^-3/y^-4

y⁴/x³

300

3m^-8

3/m⁸

400

8^-2q³r^-5

q³/64r⁵

500

How old is Mrs Zerbo's oldest daughter?

22