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Popular >

simplify (-2sqrt(3))^3

Solution

simplify

(- 23)^{3}

Solution

- 243

+1

Decimal Notation

- 41.56921 \dots

Solution steps

(- 23)^{3}

Apply exponent rule:

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

if

n

is odd

(- 23)^{3} = - (23)^{3}

= - (23)^{3}

Apply exponent rule:

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

(23)^{3} = 2^{3} (3)^{3}

= - 2^{3} (3)^{3}

2^{3} = 8

= - 8 (3)^{3}

8 (3)^{3} = 243

= - 243

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Frequently Asked Questions (FAQ)

What is (-2sqrt(3))^3 ?
The solution to (-2sqrt(3))^3 is -24sqrt(3)