Question 1

Simplify the following expression: \(25g \div 5{g^{\frac{3}{4}}}\)

\(5\;{g^{\frac{1}{4}}}\)

Question 2

Simplify the following expression: \(49p \div 7{p^{\frac{2}{3}}}\)

\[7\;{p^{\frac{1}{3}}}\]

Question 3

Simplify the following expression: \({\left( {4{f^{12}}{g^8}} \right)^{\frac{1}{2}}}\)

\(2{f^6}{g^4}\)

Question 4

Simplify the following expression: \({\left( {16{t^8}} \right)^{ - \frac{3}{4}}}\)

\(\dfrac{1}{{8{t^6}}}\)

Question 5

Simplify the following expression: \({\left( {3125{a^{10}}{b^{15}}} \right)^{\frac{1}{5}}}\)

\(5{a^2}{b^3}\)

Question 6

Simplify \((125p^3)^{-2/3}\)

\(\dfrac{1}{25p^2}\)

Question 7

Simplify \(24 \div (16p^4)^{3/4}\)

\(\dfrac{3}{p^3}\)

Question 8

Simplify \((3p^{-4/3})^{-3}\)

\(\dfrac{p^4}{9}\)

Question 9

Simplify \(\left ( \dfrac{m^{2/3}}{n^{4/3}} \right )^{3/4}\)

\(\dfrac{\sqrt{m}}{n}\)

Question 10

Simplify \((16x^4)^{-3/4} \times (27x^3)^{2/3}\)

\(\dfrac{9}{8x}\)