Question

simplify this? (2n^4h^3)^4

Answer 1

The formula or rule for this is
\[\huge (a^m)^n = a^{m*n}\]

Answer 2

Also,

\( (abc)^n = a^nb^nc^n \)

Answer 3

So it'd be \[2n ^{4}h ^{3*4}\] ?

Answer 4

Every factor inside the parentheses, including the 4, is raised to teh 4th power.

Answer 5

\[\huge 2^4 * n^{4*4} * h^{3*4}\]
My bad.

Answer 6

okay, so it would be? \[2^{4}n ^{16}h ^{12}\]

Answer 7

Yes, but you can simplify 2^4 further.

Answer 8

2^4 equals 8, so now is that it simplifies to?

Answer 9

You are correct.

\((2n^4h^3)^4\)

Use the second rule first. When a product is raised to a power, raise every factor to that power.

\(= 2^4 \cdot (n^4)^4 \cdot (h^3)^4 \)

Now use the first rule.

\(=16n^{16}h^{12}\)

Answer 10

Thanks so much :D

Answer 11

wlcm

Answer 12

Just to clarify.
2^4 = 16
2 x 2 x 2 x 2 = 16
not 8.

Answer 13

OH lol right sorry I was thinking 2^3 xp THANKS!