Question

2) Expressar em potencia de uma única base:


b)(3⁴)²÷(27) : ...............................

(3)⁴


c) (9)²÷(27)²: ...............

(81)²

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Answer 1

Oie, Td Bom?!

a)

$(3 {}^{4} ) {}^{2} \div \frac{27}{3 {}^{4} } \\ 3 {}^{8} \times \frac{3 {}^{4} }{27} \\ 3 {}^{8} \times \frac{3 {}^{4} }{3 {}^{3} } \\ 3 {}^{8} \times 3 {}^{4 - 3} \\ 3 {}^{8} \times 3 {}^{1} \\ 3 {}^{8} \times 3 \\ 3 {}^{9}$

b)

$9 {}^{2} \div \frac{27 {}^{2} }{81 {}^{2} } \\ 9 {}^{2} \times \frac{81 {}^{2} }{27 {}^{2} } \\ 9 {}^{2} \times \frac{3 {}^{8} }{3 {}^{6} } \\ 9 {}^{2} \times 3 {}^{8 - 6} \\ 9 {}^{2} \times 3 {}^{2} \\ (9 \times 3) {}^{2} \\ 27 {}^{2}$

Att. Makaveli1996