Respuesta :
Answer:
It’s C I took the quiz and earned 1 point for it.
Step-by-step explanation:
Answer:
Option 3 - seven to the one third power all raised to the third power equals seven to the one third times three power equals seven
Step-by-step explanation:
To find : Which equation justifies why seven to the one third power equals the cube root of seven?
Solution :
Applying Power of a Power Property,
i.e. a power of a power, multiply the exponents as
[tex](x^{a})^{b}=x^{a\times b}[/tex]
We have given, seven to the one third power equals the cube root of seven
i.e. [tex]7^{\frac{1}{3}} =\sqrt[3]{7}[/tex]
[tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]
Raise to the third power,
[tex][7^{\frac{1}{3}}]^3[/tex]
Applying the property ,
[tex]7^{\frac{3}{3}}=7^{1}= 7[/tex]
i.e. seven to the one third power all raised to the third power equals seven to the one third times three power equals seven.
Therefore, Option 3 is correct.
