Question

Usando a propriedade da potência,qual o valor de 34 2 . 34 5

a)-4 2
b)-4 8
c)-4 15
d)4 15

Imagem logo embaixo

Answer 1

Resposta:

R = (-3)⁶

b)R = (-4)¹⁰

c)R = (-8)¹⁰

d)R = (-15)³

e)R = (-2)⁵

f)R = (-6)¹²

g)R = 24²

h)R = (-4)¹⁴

Explicação passo-a-passo:

a)

\begin{gathered}{ ({( - 3)}^{2})}^{3} \\ {( - 3)}^{2 \times 3} \\ {( - 3)}^{6} \end{gathered}

((−3)

2

)

3

(−3)

2×3

(−3)

6

b)

\begin{gathered} { ( - 4)}^{2} \times {( - 4)}^{3} \times {( - 4)}^{5} \\ {( - 4)}^{2 + 3 + 5} \\ {( - 4)}^{10} \end{gathered}

(−4)

2

×(−4)

3

×(−4)

5

(−4)

2+3+5

(−4)

10

c)

\begin{gathered} {( - 8)}^{12} \div {( - 8)}^{2} \\ {( - 8)}^{12 - 2} \\ {( - 8)}^{10} \end{gathered}

(−8)

12

÷(−8)

2

(−8)

12−2

(−8)

10

d)

\begin{gathered} {5}^{3} \times {( - 3)}^{3} \\ {(5 \times ( - 3))}^{3} \\ { (- 15)}^{3} \end{gathered}

5

3

×(−3)

3

(5×(−3))

3

(−15)

3

e)

\begin{gathered} {( - 2)}^{ - 1} \times {( - 2)}^{3} \times {( - 2)}^{3} \\ {( - 2)}^{ - 1 + 3 + 3} \\ {( - 2)}^{5} \end{gathered}

(−2)

−1

×(−2)

3

×(−2)

3

(−2)

−1+3+3

(−2)

5

f)

\begin{gathered} {( - 6)}^{4} \div {( - 6)}^{ - 8} \\ {( - 6)}^{4 - ( - 8)} \\ {( - 6)}^{12} \end{gathered}

(−6)

4

÷(−6)

−8

(−6)

4−(−8)

(−6)

12

g)

\begin{gathered} { ( - 3)}^{2} \times {4}^{2} \times {( - 2)}^{2} \times {1}^{2} \\ {(( - 3) \times 4 \times ( - 2) \times 1)}^{2} \\ {24}^{2} \end{gathered}

(−3)

2

×4

2

×(−2)

2

×1

2

((−3)×4×(−2)×1)

2

24

2

h)

\begin{gathered} { ({( - 4)}^{7} )}^{2} \\ { ( - 4)}^{7 \times 2} \\ {( - 4)}^{14} \end{gathered}

((−4)

7

)

2

(−4)

7×2

(−4)

14