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Anton [14]
3 years ago
9

Someone please help me

Mathematics
2 answers:
anastassius [24]3 years ago
7 0

Answer:

b^{\frac{4}{9}}

Step-by-step explanation:

The definition of a rational exponent:

a^{\frac{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^{\frac{4}{9}}

olga2289 [7]3 years ago
5 0

Answer:

{b}^{ \frac{4}{9} }

Step-by-step explanation:

\huge \sqrt[9]{ {b}^{4} }  =  {b}^{ \frac{4}{9} }  \\

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