CPM Homework Help : A2C Problem 2-10

Simplify each expression below. Be sure to show your work. (Hint: Use your understanding of the meaning of exponents to expand each expression and then simplify.) Assume that the denominators in parts (b) and (c) are not equal to zero.

$\left(x^{3}\right)\left(x^{2}\right)$
Hint (a):
Interpret the meaning of the exponents $\left(x· x · x\right)\left(x · x\right)$ , then simplify. What is the shortcut?

$\frac { y ^ { 5 } } { y ^ { 2 } }$
Hint (b):
What do the exponents mean? Is there a shortcut?
$\frac{y \cdot y \cdot y \cdot y \cdot y}{y\cdot y}$

^{$\frac { x ^ { 3 } } { x ^ { 7 } }$}
Hint (c):
What do the exponents mean?
$\text{For example: }\\y^{-3}=\frac{1}{y^{3}}$
Now how can you simplify the given problem?

$\left(x^{2}\right)^{3}$
Hint (d):
Remember what each exponent means.
Answer (d):
$x^{6}$