### Home > CC2 > Chapter 9 > Lesson 9.2.3 > Problem9-80

9-80.

Simplify each of the following expressions.

1. $8 ^ { 2 } + 7 ^ { 2 }$

Use the Order of Operations.

$64+49$

$113$

1. $7 ^ { 2 } \cdot 7 \cdot 7$

How can you combine these?

$7^4=2401$

1. $\left(\frac{1}{2}\right)^2+\left(\frac{2}{3}\right)^2$

Use the same method as part (a).

1. $( 2 ^ { 2 } + 6 ) ^ { 2 }$

$(4+6)^2$

$(10)^2$

$100$

1. $- 4 \cdot 3 ^ { 2 } - 2$

Use the Order of Operations.

1. $x-x$

What do you get when you subtract any number from itself?

$0$

1. $3 \cdot 3 \div 3$

Start from the left and work your way to the right.

$3$

1. $4 x + x - 2 x$

Combine like terms.

$3x$

1. $- 2 \cdot 4 \div 4$

See part (g).