### Home > INT1 > Chapter 7 > Lesson 7.1.3 > Problem7-39

7-39.

Rewrite each of the following expressions in a simpler form.

1. $\frac { 1.32 \times 10 ^ { 5 } } { 2 \times 10 ^ { - 3 } }$

Read Math Notes box in Lesson 1.3.1 on scientific notation.

$6.6 × 10^7$

1. $( \frac { - 3 x ^ { 2 } } { y ^ { - 2 } } ) ^ { 3 }$

Read Math Notes box in Lesson 1.3.2 to review the rules of exponents.

Multiply the all of the exponents in the parentheses by $3$. Remember $3 = 3^{1}$. In the numerator you have
$( -3^{1 \cdot 3} · x^{2 \cdot 3})$. In the denominator you will have $y^{-2 · 3}$.

Make sure final answer has no negative exponents.

$-27x^6y^6$

1. $(3x + 4)(4y - 1)$

Use a generic rectangle.
Read Math Notes box in Lesson 3.2.5 for more help.

1. $(x - 2)^2 + 2$

Remember $(x − 2)^2$ is equivalent to $(x − 2)(x − 2)$.
See part (c) for more help.