Question

simplify 2³× 3⁴ × 2⁴upon 3²×2⁵​

Answer 1

Answer:

$\frac{ {2}^{3} \times {3}^{4} \times {2}^{4} }{ {3}^{2} \times {2}^{5} } = {6}^{2}$

Step-by-step explanation:

$\frac{ {2}^{3} \times {3}^{4} \times {2}^{4} }{ {3}^{2} \times {2}^{5} } \\ = \frac{2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = 2 \times 2 \times 3 \times 3 \\ = {2}^{2} \times {3}^{2} \\ = {(2 \times 3)}^{2} \\ = {6}^{2}$

Answer 2

Step-by-step explanation:

(2^3 × 3^4 × 2^4)/ 3^2 × 2^5

(2^7 × 3^4)/3^2 × 2^5

= 2^2 × 3^2

= 4 × 9 = 36 = 6^2