# Exam-Style Question on Standard Form

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 553. This question is similar to one that appeared on an IB AA Standard paper in 2021. The use of a calculator is allowed.

NASA’s Transiting Exoplanet Survey Satellite (TESS) has discovered a planet between the sizes of Mars and Earth orbiting a bright, cool, nearby star. The planet, called L 98-59b, marks the smallest found by TESS yet. The radius of L 98-59b is $$5.42\times 10^6$$ m.

(a) Write down the diameter of the planet in kilometers.

The volume of the planet in cubic kilometers can be expressed in the form $$n\times 10^k$$, where $$1 \le n\lt 10,k\in \mathbb Z$$

(b) Find the value of $$n$$ and the value of $$k$$.

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