Question

Usando as propriedades das potências escreva na forma de uma única potência a) 2^3×2^4×2^5×2^6= . b) (2^3)^2= . C) (6÷3)^3=. D) 20^3×10×10=. E) (3^4)^3=. F) 6^4÷6^3. G) (2÷3)^3. H) [(-1^2)^-2]^3=. I) 7^15÷7^10=. J) 10^1×10^2×10-1=.

Answer 1

$a) \:2 {}^{3} \times 2 {}^{4} \times 2 {}^{5} \times 2 {}^{6} \\ 2 {}^{3 + 4 + 5 + 6} \\ 2<strong> </strong>{}^{18} \\ b)(2 {}^{3} ) {}^{ {}^{2} } \\2 {}^{3 \times 2} \\ 2 {}^{6} \\c) \: (6 \div 3) {}^{3} \\ 2 {}^{\\ \\ 3} \\ 8 \\ d) \: 20 {}^{3} \times 10 \times 10 \\ 100 \times 20 {}^{3} \\ 100 \times 8000 \\ 800000 \\ e) \: (3 {}^{4} ) {}^{3} \\ 3 {}^{4 \times 3} \\ 3 {}^{12} \\ f) \: 6 {}^{4} \div 6 {}^{3} \\ 6 {}^{4 \div 3} \\ 6 {}^{1} \\ 6 \\ g) \: (2 \div 3) {}^{3} \\ ( \frac{2}{3} ) {}^{3} \\ \frac{8}{27} \\ h) \: ({( - 1 {}^{2} ) {}^{ - 2} }) {}^{3} \\ (( - 1) {}^{ - 2} ) {}^{3} \\ (1 {}^{ - 2} ) {}^{3} \\ 1 {}^{3} \\ 1 \\ i) \: 7 {}^{15} \div 7 {}^{10} \\ 7 {}^{15 - 10} \\ 7 {}^{5} \\ j) \: 10 {}^{1} \times 10 {}^{2} \times 10 - 1 \\ 10 \times 10 {}^{2} \times 10 - 1 \\ 10 {}^{4} - 1 \\ 10000 - 1 \\ 9999$