Algebra

Polynomial Arithmetic

Multiplying and Dividing Monomials

Simplify 1 2 a b × ( a 2 b ) . \frac{1}{2} ab \times \left(-a^2b\right).

Simplify the following expression:

16 x 3 ÷ ( 4 3 x 2 ) . 16 x^3 \div \left( \frac{4}{3} x^2 \right).

Simplify a 2 b 3 × a 5 b 2 ÷ ( a 2 b ) . a^{-2} b^3 \times a^5 b^{-2} \div \left( a^2 b \right).

A rectangular cuboid with its base measuring 4 a b 2 cm 4ab^2 \text{ cm} by 3 a 2 cm 3a^2 \text{ cm} has a volume of 36 a 5 b 6 cm 3 36a^5b^6 \text{ cm}^3 . What is its height in cm \text{cm} ?

Simplify 9 a 2 b × 2 c 36 a c 2 . \frac{9 a^2 b \times 2 c}{36 a c^2} .

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