Question 1

Simplify the following expression: \({\left( {9{a^{10}}} \right)^3}\)

\(729{a^{30}}\)

Question 2

Simplify the following expression: \({\left( { - 3{x^5}} \right)^4}\)

\(81{x^{20}}\)

Question 3

Simplify the following expression: \({\left( { - {p^2}} \right)^3} \times {\left( { - {p^3}} \right)^5}\)

\({p^{21}}\)

Question 4

Simplify the following expression: \({\left( {m{n^2}{p^3}} \right)^7} \times {\left( {p{n^5}m} \right)^4}\; \div {\left( {nmp} \right)^{10}}\)

\(m{n^{24}}{p^{15}}\)

Question 5

Simplify the following expression: \(\dfrac{{{{\left( {{p^2}q} \right)}^3} \times {{\left( {{q^{ - 2}}{p^7}} \right)}^5}}}{{{{\left( {pq} \right)}^{ - 10}}}}\)

\({p^{51}}{q^3}\)

Question 6

Simplify \((3x^2y)^4\)

\(81x^8y^4\)

Question 7

Simplify \((4m^2)^3\)

\(64m^6\)

Question 8

Simplify \((-2x^3)^5\)

\(-32x^{15}\)

Question 9

Simplify \((xy)^2 \times (x^2y)^3\)

\(x^8y^5\)

Question 10

Simplify \((x^3y^2)^4 \div(xy)^3\)

\(x^9y^5\)

Question 11

Simplify \( \dfrac{(6xy)^3 \times (4xy)^2}{(2xy)^5}\)

108