CPM Homework Help : INT1 Problem 1-68

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1-68.

Use what you have learned about exponents to rewrite each of the expressions below.

$\frac { h ^ { 11 } } { h ^ { 9 } }$

Hint (a):
Think about making ones and where any left over factors would remain.
Answer (a):
$\frac{h^{11}}{h^{9}}=\frac{h^{9}\cdot h^{2}}{h^{9}}$
$=1\cdot h^{2}$
$=h^{2}$

$x ^ { 3 } \cdot x ^ { 4 }$

Hint (b):
How many factors of $x$ are multiplied together?
Answer (b):
$x^7$

$( 3 k ^ { 5 } ) ^ { 2 }$

Hint (c):
Multiply $3k^5$ by itself and then follow the pattern from part (b).
Answer (c):
$3k^5\cdot3k^5 = 9k^{10}$

$n ^ { 7 } \cdot n$

Hint (d):
Refer to part (b).

$\frac { 16 x ^ { 4 } y ^ { 3 } } { 2 x ^ { 4 } }$

Answer (e):
$\frac{16y^3}{2} = 8y^3$

$4 x y ^ { 3 } \cdot 7 x ^ { 2 } y ^ { 3 }$

Hint (f):
Refer to part (b).
Answer (f):
$28x^3y^6$

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