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Popular >

simplify (-5a^3)^5

Solution

simplify

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

Solution

- 3125 a^{15}

Solution steps

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

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

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

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

5^{5} = 3125

= - 3125 (a^{3})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(a^{3})^{5} = a^{3 \cdot 5}

= - 3125 a^{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= - 3125 a^{15}

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Frequently Asked Questions (FAQ)

What is (-5a^3)^5 ?
The solution to (-5a^3)^5 is -3125a^{15}