Power of a Power Exponent Laws 2014 © Davies

When multiplying two terms with the same base we previously learned that the base would remain the same and the exponents would be added together. Example: 4 4 x 4 3 = = © Davies

But what happens if the term with the exponent is raised to an additional power??? Example: (3 2 ) 3 = ???? This is like saying… =3 2 x 3 2 x 3 2 When we further expand we end up with = 3 x 3 x 3 x 3 x 3 x 3 = © Davies

When an exponent is raised by another exponent, the exponent are multiplied. Example: (5 3 ) 4 = 5 3x4 = © Davies

Try a few Express as an exponent with a single base. a.(-4 3 ) 19 = b.(6 3 ) -4 = c.(-3 -2 ) -3 =

a.(-4 3 ) 19 = (-4) 3x19 = (-4) 57 b. (6 3 ) -4 = 6 3x4 = 6 12 c.(-3 -2 ) -3 = (-3) -2 x -3 =(-3) 6