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Mathematics
18.01.2022 01:36
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Simplify (-3c^-3w^5)^3 a -9w^8 b. -27cw^8 c. w^15/27c^9 d.-27w^15/c^9

Simplify (-3c^-3w^5)^3
a -9w^8
b. -27cw^8
c. w^15/27c^9
d.-27w^15/c^9
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youngaidan21
youngaidan21
4,7(2 marks)

\large\boxed{D.\ \dfrac{-27w^{15}}{c^9}}

Step-by-step explanation:

(-3c^{-3}w^5)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(-3)^3(c^{-3})^3(w^5)^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=-27c^{-3\cdot3}w^{5\cdot3}=-27c^{-9}w^{15}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=-27\left(\dfrac{1}{c^9}\right)w^{15}=\dfrac{-27w^{15}}{c^9}

alondrahernande3
alondrahernande3
4,9(35 marks)
Internship or voluntary work.

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