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Popular >

simplify a(-a)^3

Solution

simplify

a (- a)^{3}

Solution

- a^{4}

Solution steps

a (- a)^{3}

Apply exponent rule:

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

if

n

is odd

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

= a (- a^{3})

Apply rule:

a (- b) = - ab

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

= - a a^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a a^{3} = a^{1 + 3}

= - a^{1 + 3}

Add the numbers:

1 + 3 = 4

= - a^{4}

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Frequently Asked Questions (FAQ)

What is a(-a)^3 ?
The solution to a(-a)^3 is -a^4