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Popular >

simplify (-3n^5)^3

Solution

simplify

(- 3 n^{5})^{3}

Solution

- 27 n^{15}

Solution steps

(- 3 n^{5})^{3}

Apply exponent rule:

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

if

n

is odd

(- 3 n^{5})^{3} = - (3 n^{5})^{3}

= - (3 n^{5})^{3}

Apply exponent rule:

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

(3 n^{5})^{3} = 3^{3} (n^{5})^{3}

= - 3^{3} (n^{5})^{3}

3^{3} = 27

= - 27 (n^{5})^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(n^{5})^{3} = n^{5 \cdot 3}

= - 27 n^{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= - 27 n^{15}

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Frequently Asked Questions (FAQ)

What is (-3n^5)^3 ?
The solution to (-3n^5)^3 is -27n^{15}