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What is the answer to this question please explain (picture included)

What is the answer to this question please explain (picture included)-example-1
User Saneef
by
7.8k points

1 Answer

7 votes
easy peasy
just use PEMDAS and some exonential laws


(x^(m))(x^(n))=x^(m+n)

(x^(m))^(n)=x^(mn)

(ab)^(m)=(a^(m))(b^(m))

also another is
x^{(m)/(n)}=\sqrt[n]{x^(m)}

so


[3(2a)^{(3)/(2)}]^(2)=

(3^(2))((2a)^{(3)/(2)}^(2))=

(9)((2a)^{(3)/(2)}^(2))=

(9)((2a)^{(6)/(2))=

(9)((2a)^(3)) =

(9)(8a^(3)) =

72a^(3)

User Gulhan
by
8.0k points

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