Exponents, Exponents, Exponents!

Product rule

100

3*4³

192

100

2⁴*3²*4²

2304

100

4x³*2x³

8x⁶

100

simplify:

3x²y*2x³z

6x⁵yz

100

x²*x³*x⁴ is equivalent to ?

x⁹

Quotient rule

100

2⁶/2⁵

2

100

x⁴/x²

x²

100

x⁵y⁴z/x⁴y³z

xy

100

51 (a+b)⁴/17 (a+b)²

3(a+b)²

100

13x³y⁷z⁶/91x²y³z⁵

xy⁴z/7

Power rule

100

(y⁴)³

y¹²

100

(x²y)⁴ =

x⁸y⁴

100

(x²y)⁴/x²y²z =

x⁶y²/z

100

19 (2cd⁴)²/57(cd)⁵ =

4c⁷d¹³/3

100

(2fg⁴)⁴(fg)⁶ =

16f¹⁰g²²

Zero & negative power rule

100

10⁰ =

1

100

-(9x)⁰ =

-1

100

1/x^-5 =

x⁵

100

(-2³b²c⁰/3a²b³c⁷)^-2 =

9b²c¹⁴/4a²

100

(j^-13)(j⁴)(j⁶) =

j^-3 or 1/j³