Question

Choose an equivalent expression for two fifths raised to the fourth power times two fifths raised to the third power all raised to the second power.

two fifths raised to the fourteenth power
two fifths raised to the twenty fourth power
four twenty fifths raised to the fourteenth power
four twenty fifths raised to the twenty fourth power

Answer 1

`\sf\\\textsf{two fifths raised to the fourteenth power}`

Step-by-step explanation:

`\sf\\(((2)/(5))^4((2)/(5))^3)^2\\\\=((2)/(5)^(4+3))^2\\\\=(((2)/(5))^7)^2\\\\=((2)/(5))^(14)`