Respuesta :
The answer is: " 64 " .
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Explanation:
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4⁻³ * 4⁶ = 4⁽⁻³⁺⁶⁾ = 4³ = 4*4*4 = 64. The answer is: "64" .
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Or:
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4⁻³ * 4⁶ = 1/4³ * 4⁶ = 4⁶ / 4³ = 4⁽⁶⁻³⁾ = 4³ = 4*4*4 = 64.
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Note the following properties of exponents:
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1) xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
2) x ⁻ᵃ = 1/xᵃ ; (x ≠ 0) ;
3) xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾ ; (x ≠ 0) ;
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_______________________________________________
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) ;
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