Question

(2¹⁰×3⁷)⁹:(2⁵×3⁶)¹⁰=​

Answer 1

Răspuns:

(2¹⁰×3⁷)⁹:(2⁵×3⁶)¹⁰=​

2¹⁰ˣ⁹·3⁷ˣ⁹:2⁵ˣ¹⁰·3⁶ˣ¹⁰=

2⁹⁰:2⁵⁰·3⁶³:3⁶⁰=

2⁹⁰⁻⁵⁰·3⁶³⁻⁶⁰=

2⁴⁰·3³

Answer 2

Explicație pas cu pas:

$\bf \big( {2}^{10} \cdot {3}^{7} \big)^{9} : \big( {2}^{5} \cdot {3}^{6} \big)^{10} =$

$\bf \big( {2}^{10 \cdot9} \cdot {3}^{7\cdot9} \big): \big( {2}^{5\cdot10} \cdot {3}^{6\cdot10} \big) =$

$\bf \big( {2}^{90} \cdot {3}^{63} \big): \big( {2}^{50} \cdot {3}^{60} \big) =$

$\bf \big( {2}^{90 - 50} \cdot {3}^{63 - 60} \big) = \red{\boxed{ \bf\red{{2}^{40} \cdot {3}^{3} }}}$