Question

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

Answer 1

Explanation:

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

Answer 2

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

Explanation:

The given expression is

`(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.

`(a^x)/(a^y)=a^(x-y)`

Using quotient rule of exponent, we get

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

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