Exponent Rules

Product Rule

100

x^3 * x^6

x^9

200

2x^5 * x^7

2x^12

300

4f^8 ⋅ 6f^4

24f^12

400

(n³)²・2n³

2n^9

500

(8r^5)(2r^7)

16r^12

600

7s^5p^5 ⋅
3s^6p^-5

21s¹¹

Power of a Power Rule

100

(x^4)^5

x^20

200

(xy)^6

x^6y^6

300

(2w^5)^2

4w^10

400

(4y^3)^2

16y^6

500

(8w^3y^7)^0

1

600

(k³)² ・ (k⁴)²

k¹⁴

Negative/Zero Exponent Rules

100

Restate with a positive exponent:

x^-5

1/(x^5)

200

Restate with a positive exponent:

4x^-9

4/x⁹

300

(5y^3)/(x^-2)

5x²y³

400

Find the VALUE:

3 ^{- 2} (3⁰)

1/9

500

Restate with a positive exponent:

(z⁵)^{- 8}

1/(z^40)

600

Find the VALUE:

(4³ + 6) + 50 ÷ [5² + (1⁰ + ( - 1)]

72