#### Given that 32\sqrt{2}= 2^a, find the value of a

Anonymous

0

Ramanath Parimi

0

Find the least prime factors of the constant and write that in the exponent form. Make sure that equal bases present on both sides.

If needed, convert square roots to exponents

Note: The nth root of *a *can be written as a fractional exponent with a raised to the reciprocal of that power.

[math]\sqrt[n]{a}[/math] = a^{\frac{1}{n}}

Apply the laws of exponents to simplify the exponents

Compare the base and powers on LHS and RHS and find the unknown.