Answered

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

81x^4

12x^5

81x^5

12x^4

Verified Answer :

savid2403

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

JeanaShupp

Answer: \(81x^4\)

Step-by-step 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, \(3^4=3\times3\times3\times3=81\)

Therefore, \(3^4x^4=81x^4\)

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

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