CPM Homework Help : A2C Problem 12-13

What do you notice about the two problems below when you simplify them? Homework Help ✎

Hint (a):

Use properties of exponents to simplify.

Step 1(a):

$\small x^{\frac{1}{2}} \cdot x^{\frac{3}{2}}$

Step 2(a):

$\small x^{\frac{4}{2}}$

Answer (a):

x²

Step 1(b):

$\small x^{\frac{1}{2}}\div\left( x^{-\frac{1}{2}} \right)^3$

Step 2(b):

$\small \frac{x^{\frac{1}{2}}}{x^{-\frac{3}{2}}}$

Hint (b):

See part (a).