Answer:
1,176
Step-by-step explanation:
An exponent is a way to represent repeated multiplication. That is ...
x² = x·x . . . . . . . the exponent of 2 means x is a factor 2 times in the product
So, your expression means ...
(14√6)² = (14·√6)·(14·√6)
Of course, the commutative and associative properties of multiplication allow us to regroup these factors to some convenient order, such as ...
(14·14)·(√6)(√6) = 196·(√6)(√6)
We know that multiplying a square root times itself gives the original number. (This is the whole point of a square root.) That is ...
(√6)(√6) = 6
So, the product above is ...
(14√6)² = 14·14·(√6)(√6) = 196·6 = 1,176
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Since there are no variables involved here, your calculator can give you this answer.
