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Is it true or false that the simplified form of the exponential:

$[{(- 3)}^{4} \times {(1 - 3)}^{2}] \div {(- 3)}^{7}$ is $\frac{{(2)}^{2}}{{- (3)}^{3}}$ ?

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True

False

answer is A.

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Detailed Solution

[{(- 3)}^{4} \times {(1 - 3)}^{2}] \div {(- 3)}^{7} [{(- 3)}^{4} \times {(- 2)}^{2}] \div {(- 3)}^{7}

\frac{{(- 3)}^{4} \times {(- 2)}^{2}}{{(- 3)}^{7}}

\frac{{(- 2)}^{2}}{{(- 3)}^{7 - 4}}

\frac{{(- 2)}^{2}}{{(- 3)}^{3}}

\frac{{(2)}^{2}}{- {(3)}^{3}}

Hence, the given statement is true.

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