simplify (m^8n^4)^4

Solution

simplify

(m^{8} n^{4})^{4}

m^{32} n^{16}

Solution steps

(m^{8} n^{4})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(m^{8} n^{4})^{4} = (m^{8})^{4} (n^{4})^{4}

= (m^{8})^{4} (n^{4})^{4}

Simplify

(m^{8})^{4} : m^{32}

= m^{32} (n^{4})^{4}

Simplify

(n^{4})^{4} : n^{16}

= m^{32} n^{16}

(1 - a)^{8}

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(x + 1) \cdot x

18 x^{3} - 24 x^{2} \cdot y + 8 x \cdot y^{2}