Question types

Exponents question types

248 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

248
Questions
5
Question groups
5
Question types
Sample Questions

Exponents questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

$\Big\{\Big(\frac{1}{3}\Big)^{-3}-\Big(\frac{1}{2}\Big)^{-3}+\Big(\frac{1}{4}\Big)^{-3}\Big\}$
  • $\frac{19}{64}$
  • B
    $\frac{64}{19}$
  • C
    $\frac{27}{16}$
  • D
    $\frac{-19}{64}$

Answer: A.

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If $\Big(\frac{5}{3}\Big)^{-5}\times\Big(\frac{5}{3}\Big)^{11}=\Big(\frac{5}{3}\Big)^{8\text{x}}, \text{then x}=?$
  • A
    $-\frac{1}{2}$
  • B
    $-\frac{3}{4}$
  • $\frac{3}{4}$
  • D
    $\frac{4}{3}$

Answer: C.

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Express the following in exponential form:
$\mathrm{x} \times \mathrm{x} \times \mathrm{x} \times \mathrm{x} \times \mathrm{a} \times \mathrm{a} \times \mathrm{b} \times \mathrm{b} \times \mathrm{b}$
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Find the values of n in the following:
If $\frac{9^{\text{n}}\times3^2\times3^{\text{n}}-27^{\text{n}}}{(3^3)^5\times2^3}=\frac{1}{27},$ find the value of $n$
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