Question

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Answer 1

22)

a)

$\frac{(7 {}^{2} ) {}^{3 } }{(7 {}^{3) {}^{2} } } = \frac{7 {}^{6} }{7 {}^{6} } = 1$

b)

$\frac{(3 \times 5 {}^{2}) {}^{3} }{(3 {}^{2} \times 5) {}^{2} } = \frac{3 {}^{3} \times 5 {}^{6} }{3 {}^{4} \times 5 {}^{2} } = \frac{1 \times 5 {}^{4} }{3 \times 1} = \frac{5 {}^{4} }{3}$

23)

$3 {}^{7 } = 2187$

$3 {}^{5} = 243$

$\frac{3 {}^{7} }{3 {}^{5} } = \frac{2187}{243} \\ \\ 3 {}^{7 - 5} = 9 \\ \\ 3 {}^{2} = 9 \\ \\ 9 = 9$

Vai conseguir embalar 9 pacotes.

24)

a)

O dobro de 2^10

$2 \times 2 {}^{10} = 2 {}^{10 + 1} = 2 {}^{11}$

b)

O quádruplo de 2^10

$4 \times 2 {}^{10} = 2 {}^{2} \times 2 {}^{10} = 2 {}^{2 + 10} = 2 {}^{12}$

c)

O quadrado de 2^10

$(2 {}^{10} ) {}^{2} =2 {}^{10 \times 2} = 2 {}^{20}$

d)

O cubo de 2^10

$(2 {}^{10} ) {}^{3} = 2 {}^{10 \times 3} = 2 {}^{30}$