How do you convert #15root(4)((81ab^2# to exponential form?

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#15root(4)((81ab^2#

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Answer 1 · 2018-02-21T01:40:50

#15(81ab^2)^{1/4}#

That is the direct conversion to exponential form.

Rational exponents can be expressed as #x^{a/b}#

Where a is the power and b is the root.

If you wanted to simplify your expression, you can distribute the #1/4# exponent across everything inside the parenthesis.

Then, #15*81^{1/4}a^{1/4}b^{2/4}->15*3*a^{1/4}b^{1/2}->45*a^{1/4}b^{1/2}#