### Name: Date: ______ Homework Exponential Notation -

```Name: ____________________________ Date: ____________ Homework Exponential Notation -­‐ • Lesson 4 -­‐ Numbers Raised to the Zeroth Power • Review of Lessons 1-­‐3 1. Write the expanded form of 3,892 using exponential notation. 3,892 = (_____ x _____) + (_____ x _____) + (_____ x _____) + (_____ x _____). Problem Simplified Expression in Exponential Notation 9
p
2. 9 p
1
2
3. 4 • 2 4
2 0
4. (2(31695) ) 13
5
c
d
5. 5 • 13 d c
1
1
7
10
6. 6 • 10 • 6 • 7 6
6
7. If two expressions have the same factor or base, what happens to the exponents when the expressions are multiplied? ____________________________________________________________________________________ ____________________________________________________________________________________ 8. Simplify each expression. a.) 34 ⋅ x 3 ⋅ x 5 b.) ( 6x 2 )( 4x 2 ) c.) (3 x 3 y 2 )(-­‐6 y 5 ) d.) 2 (3a 2 ) 3 32 55
23 x 3 y 4
2
3
e.) f
.) g
.) h.) x 5 ⋅ x 9 (
8
n
p
)
2
2
2 ⋅ xy
3⋅5
9. What is the fast way to simplify when you raise an exponent to another power (or what can you do instead of expanding)? ____________________________________________________________________________________
```