Question

Решить примеры со степенями. надо. 1) 16*(2^-8)^2 2) (7.2*10^7)/(1.2*10^10) 3) (√3)^4/18 4) 20/(4√5)^2 5) √(3^6*2^4*5^2)

Answer 1

лови

Объяснение:

1.

$16( {2}^{2} - 8)^{2} = 16(4 - 8)^{2} = 16 {( - 4)}^{2} = 16 \times 16 = 256$

2.

$\frac{7.2 \times {10}^{7} }{1.2 \times {10}^{3} } = \frac{6}{ {10}^{3} } = \frac{6}{10 \times {10}^{2} } = \frac{3}{5 \times {10}^{2} } = \frac{3}{500}$

3.

$\frac{\sqrt{3}^{4} }{18} = \frac{9}{18} = \frac{1}{2}$

4.

$\frac{20}{4 \sqrt{5}^{2} } = \frac{20}{16 \times 5} = \frac{4}{16} = \frac{1}{4}$

5.

$\sqrt{ {3}^{6} \times {2}^{4} \times {5}^{2} } = 27 \times 4 \times 5 = 540$