Question

Calculati:(4²÷3²)²×4¹⁸÷256⁵​

Answer 1

Explicație pas cu pas:

${( {4}^{2} \div {3}^{2} )}^{2} \times {4}^{18} \div {256}^{5} = ({ \frac{4}{3} })^{4} \times {4}^{18} \div {( {4}^{4} )}^{5} = \\ = \frac{ {4}^{22} }{{3}^{4} \times {4}^{20}} = \frac{ {4}^{2} }{ {3}^{4} } = \frac{16}{81}$

Answer 2

Răspuns:

Explicație pas cu pas:

Calculati:

(4²÷3²)²×4¹⁸÷256⁵​=[(2²)²:3²]² x (2²)¹⁸:(16²)⁵=(2⁴:3²)² x 2³⁶ : 16¹⁰=

2⁸:3⁴ x 2³⁶:(2⁴)¹⁰=(2⁸ x 2³⁶)/(3⁴ x 2⁴⁰)= 2⁴⁴/3⁴ x 2⁴⁰=2⁴/3⁴=16/81