Write these expressions as simply as possible using indicies...?

Question

a) 4x2^5 / 8
b) a^2 b^3/a^3 b^2

???

Answer 1

a) 4x²^5 / 8 =
2²x¹º / 2³ = x¹º over 2
b) a² b³/a³b² = b over a
:==::

Answer 2

a) You need to make everything into powers of 2.

4=2^2
8=2^3

this gives:

(2^2 * 2^5)/2^3
When you have the same base(in this case 2) being multiplied, we add the indicies, so:
2^2 * 2^5 = 2^7

When dividing by a power with the same base we subtract, so:
2^7/2^3=2^4

b)since it is all being multipied together we can rewrite
(a^2 b^3)/(a^3 b^2) as (a^2/a^3)*(b^3/b^2)

using what we learnt in the first question:
a^2/a^3=a^-1 or 1/a^1

b^3/b^2=b^1 or b

so the solution is b/a

Answer 3

a) 4*4=16

b) b/a

Answer 4

your kidding right??? you dont know this...