Simplifying Expressions with the Power Rule

Add the exponents when raising a power to another power.

Subtract the exponents when raising a power to another power.

Divide the exponents when raising a power to another power.

Multiply the exponents when raising a power to another power.

2^5

2^12

2^9

2^6

x^6

x^8

x^10

x^12

y^15

y^25

y^12

y^20

10x^5

10x^6

25x^6

25x^5

6x^2

-9x^2

-6x^2

9x^2

12x^6y^15

12x^5y^15

64x^5y^15

64x^6y^15

0.5m^8n^4

0.5m^6n^4

0.25m^6n^4

0.25m^8n^4

2mn^6

66mn^3

66n^3

64mn^3

4x^4y^4 + 16x^6y^4

4x^4y^4 + 16x^6y^2

4x^4y^2 + 16x^6y^4

4x^4y^2 + 16x^6y^2