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Popular >

simplify (-3ab^2)^3

Solution

simplify

(- 3 a b^{2})^{3}

Solution

- 27 a^{3} b^{6}

Solution steps

(- 3 a b^{2})^{3}

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

(3 a b^{2})^{3} = 3^{3} a^{3} (b^{2})^{3}

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

3^{3} = 27

= - 27 a^{3} (b^{2})^{3}

Simplify

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

= - 27 a^{3} b^{6}

Popular Examples

simplify (2+5i)/(5-2i)simplify

\frac{2 + 5 i}{5 - 2 i}

factor x^3-8x+8 factor

x^{3} - 8 x + 8

0 = x^{2} - 2 x - 3

4 x^{2} - 2 x - 12 = 0

simplify sqrt(-15)*sqrt(-5)simplify

- 15 \cdot - 5

Frequently Asked Questions (FAQ)

What is (-3ab^2)^3 ?
The solution to (-3ab^2)^3 is -27a^3b^6