Evaluate It
Evaluate: 2³
8
Rewrite with positive exponents: 4⁻³
1/43 or 1/64
Which is greater: 2⁻¹ or 2⁻²?
2⁻¹ = (1/2) is greater than 2⁻² = (1/4)
Simplify: x³ × x²
x⁵
A bacteria population doubles every hour. Write the expression for its size after 5 hours starting from 1 bacterium.
2⁵ = 32
Evaluate: 5⁻²
1/125
Rewrite with positive exponents: 5⁻² × 2⁻³
1/52 x 1/23 or 1/25 x 1/8
True or False: 5⁰ = 0
Fale 50 = 1
Simplify: (y⁵)²
y¹⁰
The area of a square is expressed as (s²). If s = 2³, what is the area?
(2³)² = 2⁶ = 64
Evaluate: (−3)⁴
81
Rewrite with positive exponents: (x⁻³y²)⁻¹
x³ / y²
Compare using >, <, = : 3³ ____ 2⁴
3³ = 27 > 2⁴ = 16
Simplify: (a³ ÷ a⁴)
a⁻¹ or 1/a
A scientist dilutes a substance by 1/10 each time. Write the expression for 3 dilutions.
(10⁻¹)³ = 10⁻³ = 1/1000
Evaluate: 10⁰
1
Rewrite with positive exponents: (3a⁻²b)²
9b²/a4
Which is smaller: (1/10)² or 10⁻³?
10⁻³ = 1/1000 is smaller.
Simplify: (m²n³)⁰
Julia says 6² × 6⁻² = 0. Is she correct? Explain.
No, it equals 6⁰ = 1, not 0.
Evaluate: 2⁻³ × 2²
1/2
Rewrite: (x⁰ × y⁻²)
1/y2
Compare: (−2)⁴ and (−2)³
(−2)⁴ = 16 > (−2)³ = −8
Simplify: (p⁻²q³) × (p⁴q⁻¹)
p²q²
A satellite transmits a signal at 10⁻⁶ watts. How many times smaller is this than 1 watt?
1,000,000 times smaller.