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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: [tex]81x^4[/tex]

Step-by-step explanation:

The given expression: [tex](3x)^4[/tex]

The law of exponent says that

[tex](ab)^n=a^nb^n[/tex]

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

[tex](3x)^4=3^4x^4=[/tex]

Since, [tex]3^4=3\times3\times3\times3=81[/tex]

Therefore, [tex]3^4x^4=81x^4[/tex]

Hence, the correct simplification of the expression [tex](3x)^4=81x^4[/tex]

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