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Mkey [24]
3 years ago
10

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

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0
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^{\frac{m}{n}}=\sqrt[n]{x^{m}}

so

[3(2a)^{\frac{3}{2}}]^{2}=
(3^{2})((2a)^{\frac{3}{2}}^{2})=
(9)((2a)^{\frac{3}{2}}^{2})=
(9)((2a)^{\frac{6}{2})=
(9)((2a)^{3}) =
(9)(8a^{3}) =
72a^{3}

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