Question

Choose the correct simplification of the expression (3x)^4.

81x^4
12x^5
81x^5
12x^4

Answer 1

The exponent 4 needs to be applied to both 3 and x, so we would have:
3 * 3 * 3 * 3 * x^4.
9 * 9 * x^4.
81x^4

Answer 2

Answer:
`81x^4`

Explanation:

The given expression:
`(3x)^4`

The law of exponent says that

`(ab)^n=a^nb^n`

Therefore by applying the above law we get the given expression as:

`(3x)^4=3^4x^4=`

Since,
`3^4=3*3*3*3=81`

Therefore,
`3^4x^4=81x^4`

Hence, the correct simplification of the expression
`(3x)^4=81x^4`