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Popular >

simplify (-5p^3)^3

Solution

simplify

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

Solution

- 125 p^{9}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

5^{3} = 125

= - 125 (p^{3})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(p^{3})^{3} = p^{3 \cdot 3}

= - 125 p^{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= - 125 p^{9}

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Frequently Asked Questions (FAQ)

What is (-5p^3)^3 ?
The solution to (-5p^3)^3 is -125p^9