(1) 12⁶x12 = (12x12x12x12x12x12) x 12 = 12⁷ = 12⁶+¹
(2) (-5)⁴x(-5)⁶ = (-5x-5x-5x-5) x (-5x-5x-5x-5x-5x-5) = 5¹⁰ = (-5)⁴+⁶
(3) (0.7)³ x (0.7)²
[tex] = (\frac{7}{10} \times \frac{7}{10} \times \frac{7}{10} ) \times ( \frac{7}{10} \times \frac{7}{10} ) \\ = ( \frac{7}{10} {)}^{5} = ( \frac{7}{10} {)}^{3 + 2} [/tex]
(4) (4b)⁵ x (4b)³ = b⁵(4x4x4x4x4) x b³(4x4x4) = (4b)⁸ = (4b)³+⁵
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Verified answer
(1) 12⁶x12 = (12x12x12x12x12x12) x 12 = 12⁷ = 12⁶+¹
(2) (-5)⁴x(-5)⁶ = (-5x-5x-5x-5) x (-5x-5x-5x-5x-5x-5) = 5¹⁰ = (-5)⁴+⁶
(3) (0.7)³ x (0.7)²
[tex] = (\frac{7}{10} \times \frac{7}{10} \times \frac{7}{10} ) \times ( \frac{7}{10} \times \frac{7}{10} ) \\ = ( \frac{7}{10} {)}^{5} = ( \frac{7}{10} {)}^{3 + 2} [/tex]
(4) (4b)⁵ x (4b)³ = b⁵(4x4x4x4x4) x b³(4x4x4) = (4b)⁸ = (4b)³+⁵