contestada

Take the answer: 8^2/9 . Create an expression using each of the specified properties below that will result in this answer once it is simplifieda. Product of Powersb. Power of a Powerc. Quotient of Powers

Respuesta :

For the value given

[tex]8^{\frac{2}{9}}[/tex]

To create the expressions required in the question, we will follow the steps below

Part A: Product of powers

[tex]a^m\times a^n=a^{m+n}[/tex]

hence

[tex]8^{\frac{2}{9}}=8^{\frac{1}{9}}\times8^{\frac{1}{9}}[/tex]

Part B: Power of power

[tex](a^m)^n=a^{m\times n}[/tex]

Thus

[tex]8^{\frac{2}{9}}=(8^{\frac{1}{9}})^2[/tex]

Part C: Quotient of powers

[tex]8^{\frac{2}{9}}=\frac{8^1}{8^{\frac{7}{9}}}[/tex]

Otras preguntas