Exam Type Examples (Grade 12 NSC Matric Mathematics): Quizzes

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What is a key skill needed to simplify complex algebraic expressions with exponents?

Apply the laws of exponents

When simplifying 6x⋅9x54x+1\frac{6^x \cdot 9^x}{54^{x+1}}, what is 54 expressed as prime bases?

2×332 \times 3^3

What is the simplified form of 6x⋅9x54x+1\frac{6^x \cdot 9^x}{54^{x+1}}?

154\frac{1}{54}

When expressing all terms in powers of 2, what does 4x4^x equal?

22x2^{2x}

What is the solution to 3x−3x−1=63^x - 3^{x-1} = 6?

x=2x = 2

What is the solution to 4x+12=8x4^{\frac{x+1}{2}} = 8^x?

x=12x = \frac{1}{2}

What is the solution to 2x−3×2x−2−4=02^x - 3 \times 2^{x-2} - 4 = 0?

x=4x = 4

What should you do when solving exponential equations?

Convert to common bases

Why should you factorise expressions strategically when solving exponential equations?

To reveal underlying patterns

What should you check when dealing with rational exponents in equations?

Multiple solutions

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