Question

6) Calcule a potenciação de monômios:
a) ( + 3x²)² =
b) (-8x⁴)² =
c) (2x⁵)³ =
d) (3y²)³ =
e) (-y²)⁴ =

Answer 1

Explicação passo-a-passo:

A

$( + 3x {}^{2} ) {}^{2}$

$3 {}^{2} \times (x {}^{2} ) {}^{2}$

$3 {}^{2} \times x {}^{2 \times 2}$

$3 {}^{2} \times x {}^{4}$

$9x {}^{4}$

B

$( - 8x {}^{4} ) {}^{2}$

$( - 8) {}^{2} \times (x {}^{4} ) {}^{2}$

$64 \times x {}^{4 \times 2}$

$64 x {}^{8}$

C

$(2x {}^{5} ) {}^{3}$

$2 {}^{3} \times (x {}^{5} ) {}^{3}$

$8 \times x {}^{5 \times 3}$

$8x {}^{15}$

D

$(3y {}^{2} ) {}^{3}$

$3 {}^{3} \times (y {}^{2} ) {}^{3}$

$27y \times y {}^{2 \times 3}$

$27y {}^{6}$

E

$( - y {}^{2} ) {}^{4}$

$(y {}^{2} ) {}^{4}$

$y {}^{2 \times 4}$

$y {}^{8}$