Question

Can somebody explain step by step how to do this? I’m not sure if my answers right

Answer 1

Third option

Explanation:

You've made a major error:

You multiply the powers because of the law of indices:

`(4^(21) )/(5^(6) )`

Answer 2

C)
`(4^(21))/(5^6)`

Explanation:

`((4^7)/(5^2))^3\\ \\((4^7)^3)/((5^2)^3)\\ \\(4^(7*3))/(5^(2*3))\\ \\(4^(21))/(5^6)`

When you are raising a fraction to an exponent, you need to raise the numerator and denominator both by that exponent. Afterward, since you are raising an exponent to an exponent, you multiply the exponents.