Question 1

Simplify the following expression: \(7{a^2} \times 3{a^5}\)

\(21{a^7}\)

Question 2

Simplify the following expression: \(3{p^2} \times {q^3} \times 8{q^2} \times {p^3}\)

\(24{p^5}{q^5}\)

Question 3

Simplify the following expression: \(\dfrac{{48{a^7}{b^5}}}{{16{a^5}{b^2}}}\)

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

Question 4

Simplify the following expression: \(3{p^2} \times 4{q^3} \times 15qp \times 0.02pq\)

\(\dfrac{{18{p^4}{q^5}}}{5}\)

Question 5

Simplify the following expression: \(\dfrac{{144{a^3}b \times 81{a^2}}}{{36{b^6} \times 16a{b^3}}}\)

\(\dfrac{{81{a^4}}}{{4{b^8}}}\)

Question 6

Simplify \(3^2 \times 3^4 \div 3\)

A.

\(3^3\)

B.

\(3^4\)

C.

\(3^5\)

D.

\(3^6\)

\(3^5\)

Question 7

Simplify \(4b^3 \times 2b^2\)

\(8b^5\)

Question 8

Simplify \(\dfrac{5x^3y^2}{15xy}\)

\(\dfrac{1}{3}x^2y\)

Question 9

Simplify \(3xy \times 4x^4y^2 \div 6x^2y\)

\(2x^3y^2\)

Question 10

Simplify \(\dfrac{10k^7}{15k^2} \div 2k\)

A.

\(\dfrac{4}{3}k^4\)

B.

\(\dfrac{1}{3}k^4\)

C.

\(\dfrac{4}{3}k^3\)

D.

\(\dfrac{1}{3}k^3\)

\( \dfrac{1}{3}k^4\)