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Popular >

simplify (-2r^3p^2m)^3

Solution

simplify

(- 2 r^{3} p^{2} m)^{3}

Solution

- 8 r^{9} p^{6} m^{3}

Solution steps

(- 2 r^{3} p^{2} m)^{3}

Apply exponent rule:

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

if

n

is odd

(- 2 r^{3} p^{2} m)^{3} = - (2 r^{3} p^{2} m)^{3}

= - (2 r^{3} p^{2} m)^{3}

Apply exponent rule:

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

(2 r^{3} p^{2} m)^{3} = 2^{3} (r^{3})^{3} (p^{2})^{3} m^{3}

= - 2^{3} (r^{3})^{3} (p^{2})^{3} m^{3}

2^{3} = 8

= - 8 (r^{3})^{3} (p^{2})^{3} m^{3}

Simplify

(r^{3})^{3} : r^{9}

= - 8 r^{9} (p^{2})^{3} m^{3}

Simplify

(p^{2})^{3} : p^{6}

= - 8 r^{9} p^{6} m^{3}

Popular Examples

factor w^2+10w+21 factor

w^{2} + 10 w + 21

2(y+7)-4(y+3)<15(y-1)

2 (y + 7) - 4 (y + 3) < 15 (y - 1)

factor 4x^2+13x+9 factor

4 x^{2} + 13 x + 9

p^{2} + 5 p + 36 = 0

factor n^3+6n^2-2n-12 factor

n^{3} + 6 n^{2} - 2 n - 12

Frequently Asked Questions (FAQ)

What is (-2r^3p^2m)^3 ?
The solution to (-2r^3p^2m)^3 is -8r^9p^6m^3