Question

Simplify each given expression:


(
3
x
2
y
)
3
(
3
y
z
)
2

3
2
x
6
y
5
z
2
3
5
x
6
y
5
z
2
(
4
3
x
z
2
4
x
3
y
)
−
3
x
9
z
6
16
y
3
x
6
y
3
4
6
z
6
(
2
x
+
4
z
)
3
2
x
+
4
z
3
2
3
x
+
12
z
3
−
(
4
a
b
2
c
−
3
)
3
−
4
2
b
6
c
5
4
a
3
c
14
−
4
a
3
b
12
16
c
8
Copyright 2026 Learn By Doing, Inc.

Answer 1

I can simplify these, but the expressions in your message got garbled and are hard to parse. Could you re-send them with clearer formatting (for example: use ^ for exponents and write each problem on its own line)? Examples of clear formats:

- (3 x^2 y)^3 (3 y z)^2
- ((4/3) x z^2 / (4 x^3 y))^{-3}
- (2x + 4z)^3 / (2x + 4z)^2
- (4ab^2 c - 3)^3 - 4^2 b^6 c^5 - 4 a^3 c^14 - 4 a^3 b^12 16 c^8

If you prefer, paste an image or use plain text like (3*x^2*y)^3*(3*y*z)^2.

I can start: interpreting the first expression as (3 x^2 y)^3(3 y z)^2, its simplification is

(3 x^2 y)^3 = 3^3 x^6 y^3 = 27 x^6 y^3
(3 y z)^2 = 3^2 y^2 z^2 = 9 y^2 z^2

Multiply: 27 * 9 = 243, and y^3 * y^2 = y^5, so the product is

243 x^6 y^5 z^2.

Send the rest in clearer form and I’ll simplify them step by step.