Respuesta :

Two ways to use properties of exponents are explained

Solution:

Two important properties also known as law of exponents are as follows

1) Property of Multiplication

2) Property of Division

Property of Multiplication:

For any real number a,

[tex]\mathrm{a}^{\mathrm{n}} \times\mathrm{a}^{\mathrm{m}}=\mathrm{a}^{\mathrm{n}+\mathrm{m}}[/tex]

Example:

[tex]2^{2} \times 2^{3}=2^{2+3}=2^{5}[/tex]

Property of Division:

For any real number a,  

[tex]\frac{a^{n}}{a^{m}}=a^{n-m}[/tex]

Example:

[tex]\frac{2^{3}}{2^{2}}=2^{3-2}=2^{1}[/tex]