The result of the given expression [tex]3^7 \times 3^{-4}\\[/tex] is 27
[tex]3^7 \times 3^{-4}\\[/tex]
Whenever the bases are same and there is multiplication or division of such numbers, then the exponents adds up (in case of multiplication) or subtracts down (in case of division).
For given case, there is same base 3 and multiplication is happening. Thus:
[tex]3^7 \times 3^{-4} = 3^{7 + (-4)} = 3^{3} = 27[/tex]
Thus, the evaluation of given expression gives 27 as value.
Learn more about base-exponents here:
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