Use the properties of exponents to perform the following operation: 213⋅814

(1 point)
Responses

21312

2 raised to the 13 over 12 power
214
2 raised to the 1 fourth power
227
2 raised to the 2 sevenths power
1627
16 raised to the 2 sevenths power
16112

1 answer

To perform the operation 213⋅814 using the properties of exponents, we multiply the base (2 in this case) and add the exponents.

2^13 * 2^14 = 2^(13+14) = 2^27

Therefore, the correct answer is 2 raised to the 27th power, which is option 227.
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