Question

Simplyfy. the expression

Answer 1

Choice A is correct. 2 x⁶/x⁸ is the simplification of given expression.

Explanation:

We have given the following expression:

(6x³/3x⁴)²

We have to simplify the given expression.

apply the whole power to the separate terms in the nominator and in the denominator we get,

(6x³/3x⁴)²=(6x³)²/(3x⁴)²

(6x³/3x⁴)² = 6x⁶/3x⁸

(6x³/3x⁴)² = 3*2x⁶/3x⁸

(6x³/3x⁴)² = 2x⁶/x⁸

2x⁶/x⁸ is the simplification of given expression.

Answer 2

Answer: OPTION A.

Explanation:

To solve this problem you must keep on mind the following:

- Power to power rule is:

`(a^(m))^(n)=a^((m*n))`

- The exponents properties establishes that if you divide two power with equal base, you must subtract the exponents.

Therefore, keeping the above on mind, you can simplify the expression as following:

`(6x^((3*2)))/(2x^((4*2)))=(2x^(6))/(x^8)`