Which of the following is equivalent to (mn)3? 3mn m3n mn3 m3n3
The equivalent expression of \((mn)^3\) will be \(m^3n^3\).
Given expression,
\((mn)^3\)
An exponent indicates how many times the number must be multiplied by itself. Exponents are also referred to as powers or indices.
Since in \((mn)^3\\\), the base is \(mn\) and the exponent is 3.
On Applying the law of exponent
\((ab)^m=a^mb^m\), we get
\((mn)^3=m^3n^3\)
Hence the correct option is (D) \(m^3n^3\).
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