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Popular >

simplify (n^5*2m^0n^4)^4

Solution

simplify

(n^{5} \cdot 2 m^{0} n^{4})^{4}

Solution

16 n^{36}

Solution steps

(n^{5} \cdot 2 m^{0} n^{4})^{4}

Apply exponent rule:

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

(n^{5} \cdot 2 m^{0} n^{4})^{4} = (n^{5})^{4} \cdot 2^{4} (m^{0})^{4} (n^{4})^{4}

= (n^{5})^{4} \cdot 2^{4} (m^{0})^{4} (n^{4})^{4}

Simplify

(n^{5})^{4} : n^{20}

= n^{20} \cdot 2^{4} (m^{0})^{4} (n^{4})^{4}

2^{4} = 16

= n^{20} \cdot 16 (m^{0})^{4} (n^{4})^{4}

Simplify

(m^{0})^{4} : 1

= n^{20} \cdot 16 \cdot 1 \cdot (n^{4})^{4}

Simplify

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

= n^{20} \cdot 16 \cdot 1 \cdot n^{16}

Multiply the numbers:

16 \cdot 1 = 16

= 16 n^{20} n^{16}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

n^{20} n^{16} = n^{20 + 16}

= 16 n^{20 + 16}

Add the numbers:

20 + 16 = 36

= 16 n^{36}

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Frequently Asked Questions (FAQ)

What is (n^5*2m^0n^4)^4 ?
The solution to (n^5*2m^0n^4)^4 is 16n^{36}