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Question 1 of 10

1. Question

Find \(A\) and \(B\) if \(\left( {2.2 \times {{10}^3}} \right) \times \left( {1.8 \times {{10}^5}} \right) = A \times {10^B}\) in scientific notation with two significant figures.

\(A = \) , \(B = \)

Correct

Incorrect

Question 2 of 10

2. Question

If \({t_{10}} = – \dfrac{1}{2}\) and \({t_{13}} = \dfrac{3}{4}\), find \({t_{100}}\) of the arithmetic sequence.

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Incorrect

Question 3 of 10

3. Question

A geometric sequence has \({u_2} = – 6\) and \({u_5} = 162\). Find its general term.

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Incorrect

Hint

\({u_n} = {u_1} \times {r^{n – 1}}\)

Question 4 of 10

4. Question

Given \(2.1444 \cdots = \dfrac{a}{{90}}\), find \(a \).

\(a = \)

Correct

Incorrect

Question 5 of 10

5. Question

Find \(x\) and \(y\), if \(24 \times {2^3} \times {3^2} = {2^x}{3^y}\).

\(x = \) , \(y = \)

Correct

Incorrect

Hint

\({a^p} \times {a^q} = {a^{p + q}}\)

Question 6 of 10

6. Question

Find the value of \({\left( {{5^0} + {6^1} + {7^2}} \right)^0}\).

Correct

Incorrect

Hint

\({a^0} = 1\)

Question 7 of 10

7. Question

Solve \({4^x} – 6 \times {2^x} + 8 = 0\). There could be more than one answer.

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Incorrect

Question 8 of 10

8. Question

Solve \({\log _{10}}x = – 5\), correcting to one significant figures.