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Popular >

simplify (-b^2)^3

Solution

simplify

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

Solution

- b^{6}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

assuming

a \geq 0

(b^{2})^{3} = b^{2 \cdot 3}

= - b^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= - b^{6}

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Frequently Asked Questions (FAQ)

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