EXPRESSING A POWER WITH A DIFFERENT BASE

Examples 1-4 : Write each expression as a power with base 2.

Example 1 :

8

Solution :

= 8

= 2 x 2 x 2

= 2³

Example 2 :

4³

Solution :

= 4³

= (2²)³

= 2^2x3

= 2⁶

Example 3 :

Solution :

Example 4 :

Solution :

Examples 5-8 : Write each expression as a power with base 3.

Example 5 :

27

Solution :

= 27

= 3 x 3 x 3

= 3³

Example 6 :

81³

Solution :

= 81³

= (3⁴)³

= 3^4x3

= 3¹²

Example 7 :

Solution :

Example 8 :

Solution :

Example 9-12 : Write each expression as a single power of 4.

Example 9 :

(√16)²

Solution :

Example 10 :

(√16)³

Solution :

Example 11 :

√16(³√64)²

Solution :

Example 12 :

(√2)⁸(⁴√4)⁴

Solution :

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