Evaluate this equation: (4^-3) (4^6)

The answer is:  " 64 " .

Explanation:


4⁻³ * 4⁶ = 4⁽⁻³⁺⁶⁾ = 4³ = 4*4*4 = 64.  The answer is:  "64" .

Or: 

4⁻³ * 4⁶  = 1/4³   * 4⁶ =   4⁶ / 4³ = 4⁽⁶⁻³⁾ = 4³ = 4*4*4 = 64. 

Note the following properties of exponents:


1) xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

2) x ⁻ᵃ = 1/xᵃ ; (x ≠ 0) ;

3) xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾ ; (x ≠ 0) ;

In this problem it decreased 20%