Question

simplify: (x^ m+n )^ 2 *(x^ n+p )^ 2 *(x^ p+m)^ 2 (x^ m * x^ n * x^ p )^ 3​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Given,

(x^ m+n )^ 2 *(x^ n+p )^ 2 *(x^ p+m)^ 2 / (x^ m * x^ n * x^ p )^ 3​

To find,

Simplified equation

Solution,

(x ^ m + n)² * (x ^ n + p)² * (x ^ p + m)²

[(x ^ m)(x ^ n)(x ^ p)]³

= x ^ (2m + 2n) * x ^ (2n + 2p) * x ^ (2p + 2m)    {because a^m^n = a^mn}

x ^ 3m * x ^ 3n * x ^ 3p

= x ^ (2m + 2n + 2n + 2p + 2p + 2m)    {Because a^m * a ^n = a ^ (m+n)}

x ^ (3m + 3n + 3p)

= x ^ (4m + 4n + 4p)

x ^ (3m + 3n + 3p)

= x ^ (4m + 4n + 4p - 3m - 3n - 3p)      {because a^m/a^n = a^(m-n)}

= x ^ (m + n + p)

Thus the simplified equation is x ^ (m + n + p)