Question

(4²×3²)÷(3²×2⁵)
simplify and express the result in exponential form​

Answer 1

Pls mark me brainless

Answer 2

Step-by-step explanation:

Question :

Simplify and express the result in exponential form.

★ (4² × 3²) ÷ (3² × 2⁵) ★

Solution :

$\sf \implies( {4}^{2} \times {3}^{2}) \div ( {3}^{2} \times {2}^{5} )$

It can be written as,

$\sf \implies \dfrac{( {4}^{2} \times {3}^{2})}{ ( {3}^{2} \times {2}^{5} )}$

$\sf \implies \dfrac{ {4}^{2} \times \cancel{{3}^{2}}}{ \cancel{{3}^{2} } \times {2}^{5} }$

$\sf \implies \dfrac{{4}^{2} }{ {2}^{5} }$

$\sf \implies \dfrac{{( {2}^{2} )}^{2} }{ {2}^{5} }$

$\sf \implies \dfrac{{ {2}^{2 \: \times \: 2} }}{ {2}^{5} }$

$\sf \implies \dfrac{{2}^{4}}{ {2}^{5} }$

$\sf \implies {2}^{4 \: - \: 5}$

$\pink{ \sf \implies \boxed{ \bf{2}^{ - 1} } \: \bigstar}$