Indices I

Since $6^x=9$.

May/June 2015

Evaluate the value of $3^{-2}$.

May/June 2017

Write $54$ as a product of prime factors.

May/June 2017

From $(y^k)^{-2} = y^5$, Find the value of $k$.

May/June 2021

Evaluate $7^{-3}\div7^{-4}$.

May/June 2022

For $(ax^b)^3 = 27x^4$, determine the value of $a$ and the value of $b$.

May/June 2023

Find the numerical value of $3^3$.

May/June 2025

$a^x = 5$.

Oct/Nov 2017

Write in simpler form.

Oct/Nov 2019

Evaluate the value of $4^0$.

Oct/Nov 2021

Solve for $k$ in $27^k = 9$.

Oct/Nov 2021

From $(ax^{n})^{\frac{2}{3}} = 4x^{10}$, determine the value of $a$ and the value of $n$.

Oct/Nov 2024

Evaluate the value of $27^{-\frac{2}{3}}$.

Oct/Nov 2025

Evaluate the expression $16^{-\frac{3}{4}}$.

Oct/Nov 2025