Question

Which equation justifies why seven to the one third power equals the cube root of seven?

Answer 1

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

$(x^{a})^{b}=x^{a\times b}$

We have given, seven to the one third power equals the cube root of seven

i.e. $7^{\frac{1}{3}} =\sqrt[3]{7}$

$\sqrt[3]{7}=7^{\frac{1}{3}}$

Raise to the third power,

$[7^{\frac{1}{3}}]^3$

Applying the property ,

$7^{\frac{3}{3}}=7^{1}= 7$

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.

Answer 2

Answer:

It’s C I took the quiz and earned 1 point for it.

Step-by-step explanation: