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Question

The value of 6n×22n×33n30n×32n×23n is equal to:

A
1
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B
(0.3)n
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C
3n
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D
35n
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Solution

The correct option is C (0.3)n
Consider 6n×22n×33n30n×32n×23nand simplify it as follows:

6n×22n×33n30n×32n×23n=2n×3n×22n×33n2n×3n×5n×32n×23n

=22n+n×33n+n23n+n×32n+n×5n=23n×34n24n×33n×5n

=34n3n24n3n×5n=3n2n×5n=3n10n=(0.3)n

Hence, 6n×22n×33n30n×32n×23n=(0.3)n.

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