## Exam-Style Question on Indices## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 459. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

If a, b and c are positive integers use the following statements to find the values of a, b and c.

$$ (ab^c)^3 = 27b^{21} $$ $$ b= 9a $$
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