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Popular >

simplify (-5mn^3p^5)^2

Solution

simplify

(- 5 m n^{3} p^{5})^{2}

Solution

25 m^{2} n^{6} p^{10}

Solution steps

(- 5 m n^{3} p^{5})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 5 m n^{3} p^{5})^{2} = (5 m n^{3} p^{5})^{2}

= (5 m n^{3} p^{5})^{2}

Apply exponent rule:

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

(5 m n^{3} p^{5})^{2} = 5^{2} m^{2} (n^{3})^{2} (p^{5})^{2}

= 5^{2} m^{2} (n^{3})^{2} (p^{5})^{2}

5^{2} = 25

= 25 m^{2} (n^{3})^{2} (p^{5})^{2}

Simplify

(n^{3})^{2} : n^{6}

= 25 m^{2} n^{6} (p^{5})^{2}

Simplify

(p^{5})^{2} : p^{10}

= 25 m^{2} n^{6} p^{10}

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Frequently Asked Questions (FAQ)

What is (-5mn^3p^5)^2 ?
The solution to (-5mn^3p^5)^2 is 25m^2n^6p^{10}