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WAEC Mathematics 2025 Paper

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Question : 4

Total: 50

Simplify 0.027

^{-\frac{1}{3}}

$\frac{3}{10}$
3 $\frac{1}{3}$
$\frac{1}{3}$
3

Solution:

Concept:

Use the rule of negative exponents and cube roots to simplify the given decimal power.

Explanation:

First, write

0.027

as a fraction:

0.027 = \frac{27}{1000}

.

So,

0.027^{-\frac{1}{3}} = \left(\frac{27}{1000}\right)^{-\frac{1}{3}}

.

A negative exponent means taking the reciprocal:

\left(\frac{27}{1000}\right)^{-\frac{1}{3}} = \left(\frac{1000}{27}\right)^{\frac{1}{3}}

.

Now take the cube root:

\sqrt[3]{\frac{1000}{27}} = \frac{\sqrt[3]{1000}}{\sqrt[3]{27}} = \frac{10}{3}

.

Convert

\frac{10}{3}

to a mixed number:

\frac{10}{3} = 3\frac{1}{3}

.

Answer:

3\frac{1}{3}

, which is Option B.

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