Exponent Rules
Simplify: 3² × 3⁴
3⁶
What does any nonzero number to the power of 0 equal?
1
√49
7
Write 4,500 in scientific notation
4.5 × 10³
A cell is about 1 × 10⁻⁵ meters wide. Is that closer to the size of a grain of sand or a bacterium?
bacterium
Simplify: (x⁵)³
x¹⁵
Write 4⁻² as a fraction
1/16
³√27
3
Write 0.0032 in scientific notation
3.2 × 10⁻³
Simplify: 2³ + √16
12
Simplify: 5⁷ ÷ 5³
5⁴
Simplify: 7⁰ + 2⁻³
1⅛ (or 9/8)
√144
12
Write 6.7 × 10⁵ in standard form
670,000
The population of a city is about 3.4 × 10⁶. Write that in standard form
3,400,000
Simplify: (2x³)²
4x⁶
Rewrite with only positive exponents: x⁻⁴
1/x⁴
Estimate √50 to the nearest whole number
7
Write 2.1 × 10⁻⁴ in standard form
0.00021
Simplify: (5²)(5⁻¹)
Simplify: (a⁴b²)³ ÷ a⁵
a⁷b⁶
Simplify: (3⁻²)(3⁵)
27 (3³)
³√(−125)
-5
Which is larger: 3.2 × 10⁴ or 2.9 × 10⁵?
2.9 × 10⁵
A byte doubles 10 times (2¹⁰). What's that value, and roughly how would you write it in scientific notation?
1,024 ≈ 1.0 × 10³