Exponential Equations (Grade 12 NSC Matric Mathematics): Quizzes

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Exponential Equations
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What defines an exponential equation?

Variable appears in the exponent

Using the product rule, what does a3×a5a^3 \times a^5 simplify to?

a8a^8

Using the quotient rule, what does a7÷a3a^7 \div a^3 equal?

a4a^4

Using the power rule, what does (a2)4(a^2)^4 simplify to?

a8a^8

What is a−3a^{-3} equal to using the negative exponent rule?

1a3\frac{1}{a^3}

What does a0a^0 equal according to the zero exponent rule?

11

Solve for xx: 2x=82^x = 8

x=3x = 3

Solve for xx: 5x+1=125x−35^{x+1} = 125^{x-3}

x=5x = 5

Solve for xx: 2x=182^x = \frac{1}{8}

x=−3x = -3

Solve for xx: 39−2x=27x−13^{9-2x} = 27^{x-1}

x=125x = \frac{12}{5}

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