Question

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Answer 1

Resposta:

b) 3 * 3² = 3³

c) 3² * 3³ = $3^{5}$

d) $9*9= 3^{2} * 3^{2} = 3^{4}$

e) $(9^{2})^{2} = ((3^{2})^{2})^{2} = 3^{8}$

f) $27^{2} = (3^{3})^{2} = 3^{6}$

g) $81^{5} = (3^{4})^{5} = 3^{20}$

h) $81^{3} = (3^{4})^{3} = 3^{12}$

Explicação passo-a-passo:

b) 3 * 3² = 3³

c) 3² * 3³ = $3^{5}$

d) $9*9= 3^{2} * 3^{2} = 3^{4}$

e) $(9^{2})^{2} = ((3^{2})^{2})^{2} = 3^{8}$

f) $27^{2} = (3^{3})^{2} = 3^{6}$

g) $81^{5} = (3^{4})^{5} = 3^{20}$

h) $81^{3} = (3^{4})^{3} = 3^{12}$

Answer 2

Resposta:

$b) \: 3 \times 9 = 3 \times 3 \times 3 = {3}^{3} \\ c) \: 3 \times 3 \times 3 \times 3 \times 3= {3}^{5}$

d)

$d) \: 3 \times 3 \times 3 \times 3 = {3}^{4}$

e)

$(((9) {}^{2} ) {}^{2} = (((3 \times 3) {}^{2} ) {}^{2} = (3 {}^{2} ) {}^{2} ) {}^{2} \\ 3 {}^{2 × 2 × 2 } = 3 {}^{8}$

f)

${27}^{2} = (3 \times 3 \times 3) {}^{2} = \\ (3 {}^{3} ) {}^{2} = 3 {}^{3 \times 2} = 3 {}^{6}$

g)

$(81) {}^{5} = (3 \times 3 \times 3 \times 3) {}^{5} \\ (3 {}^{4} ) {}^{5} = 3 {}^{4 \times 5} = 3 {}^{20}$

h)

$(81) {}^{3} = (3 \times 3 \times 3 \times 3) {}^{3} = \\ ((3) {}^{4} ) {}^{3} = 3 {}^{4 \times 3} = 3 {}^{12}$

Bons Estudos!