Question

Помогите пожалуйста

Answer 1

Ответ:

а) 1000

б) 1000000

в) 1

г) 0,422

д) 3^(-9)

Объяснение:

а)

$5 {}^{3} \times 2 {}^{3} = 125 \times 8 = 1000$

б)

$8 {}^{2} \times 125 {}^{2} = \\ = 64 \times 15625 = \\ = 1000000$

в)

$0.25 {}^{9} \times 2 {}^{9} \times 2 {}^{9} = \\ = 0.000003814697266 \times \\ \times 512 \times 512 = 1$

г)

$( \frac{3}{4}) {}^{11} \div ( \frac{3}{4} ) {}^{8} = \frac{( \frac{3}{4}) {}^{11} }{( \frac{3}{4} ) {}^{8} } = \\ = ( \frac{3}{4} ) {}^{11 - 8} = ( \frac{3}{4} ) {}^{3} = \\ = 0.75 {}^{3} = 0.422$

д)

$(27 {}^{8} \div 9 {}^{5} ) \div (9 {}^{4} \times 3 {}^{2} ) = \\ = ((3 {}^{3} ) {}^{8} \div (3 {}^{2} ) {}^{5} ) \div \\ \div ((3 {}^{2} ) {}^{4} \times 3 {}^{2} ) = \\ = (3 {}^{11} \div 3 {}^{10} ) \div (3 {}^{8} \times 3 {}^{2} ) = \\ = 3 {}^{11 - 10} \div 3 {}^{8 + 2} = \\ = 3 {}^{1} \div 3 {}^{10} = \\ = 3 {}^{1 - 10} = \\ = 3 {}^{ - 9}$