Question

simplifique aplicando as Propriedades de potencias:
A) (6.4)⁴ . (6.4)⁶

B) (3x²y) . ( 2x⁴y³)

C) (a⁵ . b)³ . (a . b)²

D) (8 xy²)². ( x² y³)⁴​

Answer 1

Resposta:

$a)(6 \times 4)^{4} \times (6 \times 4)^{6 } = \\ \: \: \: \: (6 \times 4) ^{4 + 6} = \\ \: \: \: \: \: \: \: 24 ^{10}$

$b)(3x ^{2} y) \times (2x ^{4} y ^{3} ) = \\ 3 {x}^{2} y \times 2 {x}^{4} y ^{3} = \\ 6 {y}^{6} y ^{4}$

$c)( {a}^{5} \times b)^{3} \times (a \times b)^{2} = \\ {a}^{15} \times {b}^{3} \times {a}^{2} \times {b}^{2} = \\ {a}^{17} \times b ^{5}$

$d)(8x {y}^{2} ) \times ( {x}^{2} {y}^{3} ) ^{4} = \\ 64 {x}^{2} y ^{4} {x}^{8} {y}^{12} = \\ 64 {x}^{10}y ^{16}$