Simplify each expression Use only positive exponents. (3x^2y^3)^2 ((2x^4)/(3))^3 (4xy)^-1 (2x^4y^-4z^-3)/(3x^2)y^(-3z^4) (x^2y)/(4)cdot (16x)/(y) (s^4t)^2(st)

Question

Answer 1

### 1.

### 2.

### 3.

### 4.

### 5.

### 6.

Answer 2

## Step 1: Simplify

### Apply the power rule

and distribute the exponent

to each term inside the parentheses. This gives:

Simplify each term:

Thus:

## Step 2: Simplify

### Apply the power rule

and distribute the exponent

to both numerator and denominator:

Simplify each term:

Thus:

## Step 3: Simplify

### Apply the negative exponent rule

:

## Step 4: Simplify

### Simplify by dividing powers of like bases using the rule

:

Simplify exponents:

Thus:

## Step 5: Simplify

### Multiply numerators and denominators directly:

Cancel

in the numerator and denominator:

Simplify:

## Step 6: Simplify

### First, simplify

using the power rule:

Now multiply by

:

Question