Can someone help! Thank you!

Question

asked Nov 7, 2024 69.1k views

1 Answer

Flowerpowerdad · Answer 1 · 2024-11-13T09:46:58+0000

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

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