Respuesta :
Answer:
Quotient rule of exponent is used to simplify the given expression.
Step-by-step explanation:
The given expression is
[tex]\frac{3^{10}}{3^{4}}[/tex]
In this expression the power of 3 is difference but the base of numerator and denominator are same.
Quotient rule of exponent: To divide the power of same base, we subtract the exponents.
[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
Using quotient rule of exponent, we get
[tex]\frac{3^{10}}{3^{4}}=3^{10-4}=3^6[/tex]
Therefore, quotient rule of exponent is used to simplify the given expression.