Introduction: Properties of Exponents (Algebra 2 SOL Review)
This is a properties of exponents SOL review problem set. These questions are coming directly from an algebra 2 SOL review packet, so use it wisely! I really hope this is useful!
Supplies
1) Memorize the formulas given
2) The 2nd picture is examples of how to solve properties of exponents.
Step 1: D⁶∙d⁴
d⁶∙d⁴ = d⁶⁺⁴ = d¹⁰
Step 2: X⁵∙x⁻⁸
x⁵ ∙ x⁻⁸ = x⁵ ∙ 1/x⁸ = x⁵/x⁸ = x⁵⁻⁸ = x⁻³ = 1/x³
Step 3: (8⁰)²
(8⁰)²
8⁰ = 1
1² = 1
Step 4: (3/5)⁻³
(3/5)⁻³ = 3⁻³/5⁻³ = 5³/3³ = 125/27
Step 5: (-5s/t³)²
(-5s/t³)² = (-5s)²/(t³)²
(-5s)² = 25s²
(t³)² = t⁶
25s²/t⁶
Step 6: (-3x⁻⁴)/(y²z⁻¹)
(-3x⁻⁴)/(y²z⁻¹) = -3z¹/x⁴y² = -(3z¹/x⁴y²)
Step 7: (-2jk)³ ∙ (1/3 J²k⁵)²
(-2jk)³ ∙ (1/3 j²k⁵)²
(-2jk)³ = -8j³k³
(1/3 j²k⁵)² = 1/9 j⁴k¹⁰
-8j³k³ ∙ 1/9 j⁴k¹⁰ = -8/9 j⁷k¹³
Step 8: (a²b)/(-4a⁻³b²)³
(a²b)/(-4a⁻³b²)³
(-4a⁻³b²)³ = -64a⁻⁹b⁶
a²b/-64a⁻⁹b⁶ = a² ∙ a⁹ b/-64 b⁶ = a¹¹/-64b⁵