### Home > CCA > Chapter 4 > Lesson 4.2.1 > Problem4-41

4-41.

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

1. $5^0·2^{−3}$

• Any number raised to the 0 power is 1.

$x^{-1}=\frac{1}{x}$

1. $\quad \frac { a ^ { 3 } } { b ^ { - 2 } } \cdot \frac { a b ^ { 2 } } { a ^ { 4 } }$

• ab2 is the same as a1b2.

• b4

1. $2.3 \times 10 ^ { - 3 } \cdot 4.2 \times 10 ^ { 2 }$

• An equivalent expression is (2.3 × 4.2) × (10−3 · 102).

1. $( 3.5 \times 10 ^ { 3 } ) ^ { 2 }$

• An equivalent expression is (3.5 × 103)(3.5 × 103).

• Unsimplified: 12.25 × 106