Simplify the expression: (3^6)/(3^4). A. 3^2 B. 3^3 C. 3^4 D. 3^5

Question

Simplify the expression:
`(3^6)/(3^4)`.

A.
`3^2`
B.
`3^3`
C.
`3^4`
D.
`3^5`

Answer 1

To simplify the expression
`(3^6)/(3^4)`, subtract the exponent in the denominator from the exponent in the numerator. The simplified expression is
`3^2`.

Step-by-step explanation:

To simplify the expression
`(3^6)/(3^4)`, we can use the rule of subtracting the exponents when dividing powers with the same base. In this case, the base is 3. So, subtract the exponent in the denominator (4) from the exponent in the numerator (6).
`6 - 4 = 2`. Therefore, the simplified expression is
`3^2`. Hence, the correct answer is A.
`3^2`.