Question

Someone please help me

Answer 1

`b^{(4)/(9)}`

Explanation:

The definition of a rational exponent:

`a^{(m)/(n)} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m`

A quantity is raised to an exponent that is a fraction. A fractional exponent is a root. The denominator of the fraction is the index of the root. The numerator of the fraction is an exponent.

Here you just work backwards. 9 is index of the root, so it becomes the denominator of the fractional exponent. 4 is an exponent, so it becomes the numerator of the fractional exponent. b is in the root, so b is the quantity raised to the fractional exponent.

`\sqrt[9]{b^4} = b^{(4)/(9)}`

Answer 2

`{b}^{ (4)/(9) }`

Explanation:

`\huge \sqrt[9]{ {b}^(4) } = {b}^{ (4)/(9) } \\`