Question

Calculati:
(2¹⁰ • 3⁷)⁹ : (2⁵ • 3⁶)¹⁰=
2⁴⁷ : 2³⁹=
(2¹⁷)⁸ • 2³¹=
Va rog repede​

Answer 1

$(2¹⁰ \times 3⁷)⁹ : (2⁵ \times 3⁶)¹⁰= \\ ( {2}^{10 \times 9} \times {3}^{7 \times 9} ) : ( {2}^{5 \times 10} \times {3}^{6 \times 10} )= \\ ( {2}^{90} \times {3}^{63} ) : ( {2}^{50} \times {3}^{60} )= \\ {2}^{90 - 50} \times {3}^{63 - 60} = \\ {2}^{40} \times {3}^{3}$

${2}^{47} \div {2}^{39} = {2}^{47 - 39} = {2}^{8}$

${( {2}^{17}) }^{8} \times {2}^{31} = \\ {2}^{17 \times 8} \times {2}^{31} = \\ {2}^{136} \times {2}^{31} = \\ {2}^{136 + 31} = \\ = {2}^{167}$

Answer 2

Răspuns:

1.

$\frac{16384 \times 12 {}^{13} }{59049}$

2.

${2}^{8}$

3.

${2}^{167}$