CPM Homework Help : INT1 Problem 4-40

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4-40.

Simplify each expression. In parts (c) and (d), write your answers using scientific notation.

$\quad 5 ^ { 0 } \cdot 2 ^ { - 3 }$

Hint (a):
Any number raised to the $0$ power is $1$ .
$x^{-1}=\frac{1}{x}$

$\frac { a ^ { 3 } } { b ^ { - 2 } } \cdot \frac { a b ^ { 2 } } { a ^ { 4 } }$
Hint (b):
$ab^2$ is the same as $a^1b^2$ .
Answer (b):
$b^4$

$( 2.3 \times 10 ^ { - 3 } ) ( 4.2 \times 10 ^ { 2 } )$

Hint (c):
An equivalent expression is $(2.3 × 4.2) × (10^{−3} × 10^2)$ .

$( 3.5 \times 10 ^ { 3 } ) ^ { 2 }$

Hint (d):
An equivalent expression is $(3.5 \times 10^3)(3.5 \times 10^3)$ .
Answer (d):
Unsimplified: $12.25 \times 10^6$

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