L2 Algebra
Question Bank
Simplify the expression $(27x^9)^{\frac{2}{3}}$.
Simplify, giving your answer with positive exponents: $(\frac{a^{10}}{4a^5})^{-2}$
Simplify fully: $\frac{(2b^3)^4}{(4b^5)^3}$
Simplify the expression $(16x^8)^{\frac{1}{4}} \times (9x^6)^{\frac{1}{2}}$.
Simplify, leaving your answer with positive indices: $(\frac{n^3}{16n^7})^{-0.5}$.
Make $t$ the subject of the formula $P = 5 \sqrt[3]{t-1}$.
Simplify the following expression fully:
$\left(\frac{8a^3}{2a^5}\right)^{-2}$Simplify the following expression fully:
$4\sqrt{x^3} \times (x^5)^{\frac{1}{2}}$Simplify the following expression fully:
$\frac{(9x^8)^{\frac{1}{2}}}{x^{-3}}$Make $a$ the subject of the formula $V = \frac{4}{3} a^{\frac{1}{3}}$.
Simplify the following expression fully:
$\frac{(m^{-3})^{\frac{1}{2}}}{\sqrt{m}}$Simplify the following expression fully:
$\left(\frac{27y^9}{8}\right)^{-\frac{2}{3}}$Write the following expression in the form $A m^k$, where $A$ and $k$ are constants:
$\frac{4\sqrt{m}}{\left(m^5\right)^{\frac{1}{3}}}$Simplify the following expression fully, leaving your answer with positive indices.
$\sqrt[3]{\frac{8k^5 \times (k^{-2})^4}{k}}$Simplify the following expression fully, leaving your answer with positive indices.
$\left(\frac{m^7}{(4m)^3 \times m^{-4}}\right)^{-\frac{1}{2}}$Simplify the following expression fully, leaving your answer with positive indices.
$\sqrt[4]{\frac{16a^3 \cdot a^5}{(a^{-1})^6}}$Simplify the following expression fully, leaving your answer with positive indices.
$\sqrt{\frac{(x^3)^{-2} \times 9x^9}{x^5}}$Simplify the following expression fully, leaving your answer with positive indices.
$\left(\frac{3p^2 q^{-1}}{p^{-2}q^4}\right)^{-1}$Write the following expression in the form $B p^k$, where $B$ and $k$ are constants:
$9p^{-5} \times \frac{1}{\sqrt[4]{p^3}}$