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Popular >

simplify (-10m^5)^3

Solution

simplify

(- 10 m^{5})^{3}

Solution

- 1000 m^{15}

Solution steps

(- 10 m^{5})^{3}

Apply exponent rule:

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

if

n

is odd

(- 10 m^{5})^{3} = - (10 m^{5})^{3}

= - (10 m^{5})^{3}

Apply exponent rule:

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

(10 m^{5})^{3} = 1 0^{3} (m^{5})^{3}

= - 1 0^{3} (m^{5})^{3}

1 0^{3} = 1000

= - 1000 (m^{5})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= - 1000 m^{5 \cdot 3}

Multiply the numbers:

5 \cdot 3 = 15

= - 1000 m^{15}

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Frequently Asked Questions (FAQ)

What is (-10m^5)^3 ?
The solution to (-10m^5)^3 is -1000m^{15}