Easy -1.2 This is a straightforward application of index laws requiring students to recognize that negative and fractional powers can be handled systematically: flip the fraction for the negative power, then apply the power to numerator and denominator separately. The arithmetic is simple (7³/8³ = 343/512) and the question is routine practice with no problem-solving element, making it easier than average but not trivial since it combines multiple index law rules.
In this question you must show detailed reasoning.
Find the smallest positive integers \(m\) and \(n\) such that \(\left(\frac{64}{49}\right)^{-\frac{3}{2}} = \frac{m}{n}\) [3]
In this question you must show detailed reasoning.
Find the smallest positive integers $m$ and $n$ such that $\left(\frac{64}{49}\right)^{-\frac{3}{2}} = \frac{m}{n}$ [3]
\hfill \mbox{\textit{SPS SPS SM 2023 Q1 [3]}}