Question

Which law would you use to simplify the expression 3^10/3^4

Answer 1

Answer:

Step-by-step explanation:

3^10/3^4 = 3 ^(10 - 4) = 3^6

Answer 2

Answer:

Quotient rule of exponent is used to simplify the given expression.

Step-by-step explanation:

The given expression is

$\frac{3^{10}}{3^{4}}$

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.

$\frac{a^x}{a^y}=a^{x-y}$

Using quotient rule of exponent, we get

$\frac{3^{10}}{3^{4}}=3^{10-4}=3^6$

Therefore, quotient rule of exponent is used to simplify the given expression.