how can i write ^4sqrt2 in exponential form?

Question

my calc broke

Answer 1

∜(2) can be written as:

= (2)^1/4

= 1.189207115

Answer 2

Recall, rational exponents represent (power / root). So,
√2 = 2^(1/2)
similarly,
³√8 = 8^(1/3).

To express 4√2 in exponential form, rewrite the problem, using
4 = √16.
4√2 = (√16)(√2) = √32 = 32^(1/2).

If you simply need the decimal equivalent of 4(√2), it is approximately 4(1.414) or more precisely, 5.65685.

Answer 3

^4sqrt2 means something (unspecified by you) is being raised to the power 4sqrt(2). Let's call this unspecified thing x. Then the expression becomes x^(4sqrt(2)).
= x^ sqrt(32) = x^(32^.5).

But if ^ means something else to you, disregard the above. In the future, if you use a standard symbol in an unorthodox way, be sure to indicate what you intend the symbol to represent.