(a)[1]
Simplify the expression $\dfrac{x^{2/3}}{x^{8/3}}$.
(b)[1]
For $16 = 64^k$, determine the value of $k$.
(c)[3]
Solve for $x$ in $3^{3x} \times \left(\frac{1}{9}\right)^{4 - 3x} = 3$.
Mathematics 0580 · IGCSE · Indices I
Mathematics 0580 · IGCSE · Indices I
Simplify the expression $\dfrac{x^{2/3}}{x^{8/3}}$.
For $16 = 64^k$, determine the value of $k$.
Solve for $x$ in $3^{3x} \times \left(\frac{1}{9}\right)^{4 - 3x} = 3$.