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Honors Algebra II: 5.1, 6.1, 6.2, and 6.6 Review
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Terms in this set (44)
Identify the simplest form of this expression:
x²x⁹
x¹¹
Identify the simplest form of this expression:
(x²)(x^-9)
1/x⁷
Identify the simplest form of this expression:
(x^-2)(x⁹)
x⁷
Identify the simplest form of this expression:
(x^-2)/(x⁹)
1/x¹¹
Identify the simplest form of this expression:
(x²)⁹
x¹⁸
Identify the simplest form of this expression:
(x⁹)^-2
1/x¹⁸
Simplify using the properties of exponents:
(6g(^-2)h³)(7h⁴g(^-5))
42h⁷/g⁷
Simplify using the properties of exponents:
(4z⁶y²/x)²
16z¹²y⁴/x²
Simplify using the properties of exponents:
³√375 / ³√3
5
Simplify using the properties of exponents:
⁵√ x¹⁰ / y⁵
x² / y
Simplify using the properties of exponents:
(-4a²d⁵)³
-64a⁸d¹⁵
Simplify the expression involving scientific notation:
32.7 x 10⁵
3.27 x 10⁶
Simplify the expression involving scientific notation:
0.625 x 10^-4
6.25 x 10^-5
Simplify the expression involving scientific notation:
(4.3 x 10⁴)²
1.849 x 10⁹
Simplify the expression involving scientific notation:
(4 x 10⁵)(3.1 x 10^-7)
1.24 x 10^-1
Simplify the expression involving scientific notation:
(4.8 x 10⁶) / (6 x 10³)
8 x 10⁴
Simplify the expression involving scientific notation: The United States consumes 1,500 water bottles every second. How many water bottles does the US consume in one day? State your answer using scientific notation.
1.296 x 10⁸ water bottles daily
Evaluate the expression without a calculator:
49^½
±7
Evaluate the expression without a calculator:
(√25)⁴
625
Evaluate the expression without a calculator:
16^-⁷/⁴
±1/128
Evaluate the expression without a calculator:
(6)-²
1/36
Simplify the expression using radicals and positive exponents:
x^⁶/⁷
⁷√x⁶
Simplify the expression using radicals and positive exponents:
y^²/⁵
⁵√y²
Simplify the expression using radicals and positive exponents:
z^-⁵/³
1 / ³√z⁵
Rewrite the expression using rational exponents:
√x
x^½
Rewrite the expression using rational exponents:
⁶√x⁸
x^⁴/³
Rewrite the expression using rational exponents:
(⁴√z)³
z^¾
Solve the equation:
³√x-3 = 3
x = 30
Solve the equation:
(⁴√3x + 4) - 11 = -9
x = 4
Solve the equation:
3x³ = 81
x = 3
Solve the equation:
(x^⁴/⁵) + 6 = 22
x = ±32
Solve the equation:
(⁹√x - 8) = (⁹√ 3x + 4)
x = -6
Solve the equation:
4( x + 2 )^³/² = 32
x = 2
Solve the equation:
6x⁵ = -192
x = 2
Solve the equation:
-4x⁴ = -324
x = ±3
Solve the equation:
(x + 7)⁴ = 50
x = -4.34 and -9.66
Solve the equation:
x⁶ - 34 = 181
x ≈ ±2.45
Simplify the expression:
x^¼ • x^⅓
x^¹/¹²
Simplify the expression:
(y⁴)^¹/⁶
y^⅔
Simplify the expression:
⁴√81x⁴
3x
Simplify the expression:
(³√4x³y⁵)(³√12y²)
2xy²(³√6y)
Simplify the expression:
⁴√12x²y⁶z¹²
yz³(⁴√12x²y²)
Simplify the expression:
(√x²yz³)(x³z⁵)
x²z⁴√yx
Simplify the expression:
³√ x³ / y⁴
x³(√y²) / y²
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