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JAMB Mathematics 2020 Paper

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Question : 15

Total: 40

What is the product of

\frac{27}{5}

(3)^{-3}

\left(\frac{1}{5}\right)^{-1}

?

5
3
1
$\frac{1}{25}$

Solution:

Concept:

Use the laws of exponents to simplify each term, then multiply the fractions.

Explanation:

Write each factor in exponential or fraction form.

(3)^{-3} = \frac{1}{3^3} = \frac{1}{27}

\left(\frac{1}{5}\right)^{-1} = \frac{1}{\frac{1}{5}} = 5

Now multiply all three factors:

\frac{27}{5} \times \frac{1}{27} \times 5

Cancel

27

and

5

:

\frac{27}{5} \times \frac{1}{27} \times \frac{5}{1} = 1

Answer:

1

Correct option: C.

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