Question

m⁵ X (m³)² ÷ (m⁴)³ : Simplify.

Answer 1

$\frac{ {m}^{5} \times ( {m}^{3} ) ^{2} }{ {( {m}^{4} )}^{3} } \\ \\ \\ = > \frac{ {m}^{5} \times {m}^{3 + 2} }{ {m}^{4 + 3} } \\ \\ \\ = > \frac{ {m}^{5} \times {m}^{5} }{ {m}^{7} } \\ \\ \\ = > {m}^{5 + 5 - 7} \\ \\ \\ = > {m}^{3}$

Answer 2

m⁵ X (m³)² ÷ (m⁴)³ $=\dfrac{1}{\textrm{m}}$

Step-by-step explanation:

We know Laws of exponent is

(i)   $a^{m} \times a^{n} =a^{m+n}$

(ii) $(a^{m} )^{n} =a^{mn}$

(iii) $(\dfrac{a}{b}) ^{m} =\dfrac{a^{m} }{b^{m} }$

Where , m and n are exponent and a,b are base

$\dfrac{\textrm{m}^{5}\times(\textrm{m}^{3} )^{2}}{(\textrm{m}^{4}) ^{3} }$

$=\dfrac{\textrm{m}^{5}\times \textrm{m}^{6}}{\textrm{m}^{12}}$

$=\dfrac{\textrm{m}^{5+6} }{\textrm{m}^{12}}$

$=\textrm{m}^{11-12}$

$=\textrm{m}^{-1}$

$=\dfrac{1}{\textrm{m}}$