Question

Can someone help! Thank you!

Answer 1

Answer: Choice B

Reason:

The numerator is
`(2.1)^5`

Raising that to the third power gives

`((2.1)^5)^3 = (2.1)^(5*3) = (2.1)^(15)`

We multiply the exponents. The general rule is

`(a^b)^c = a^(b*c)`

Use that same rule to cube the denominator.

`((0.9)^4)^3 = (0.9)^(4*3) = (0.9)^(12)`

Therefore,

`\left(((2.1)^5)/((0.9)^4)\right)^3=(((2.1)^5)^3)/(((0.9)^4)^3)\\\\=((2.1)^(5*3))/((0.9)^(4*3))\\\\=((2.1)^(15))/((0.9)^(12))\\\\`

In short

`\left(((2.1)^5)/((0.9)^4)\right)^3=((2.1)^(15))/((0.9)^(12))\\\\`