Multiply and simplify where possible. (433)(593)

Question

Maciej Morrow · Accepted Answer

An expression is a variable, number or combination of numbers and variables and mathematical operators. The mathematical operators can be addition, subtraction, multiplication and division.
A numerical expression is a expression which contains only numbers. So, the given is the numerical expression.
A radical form contain the radical symbol . So, the given numerical expression is in radical form as it contains the symbol .The given numerical expression in radical form can be solved using associative property of multiplication and the exponent properties.
The commutative property of multiplication says that the product of terms is same if we change the order of terms. The associative property of multiplication is the product of three terms is same if we alter the parenthesis that is $a (b c) = (a b) c$ . Using exponents property, associative property of multiplication and commutative property of multiplication simplify the given expression as follows;
$(4 \sqrt[3]{3}) (5 \sqrt[3]{9}) = (4 \sqrt[3]{3} \times 5) \sqrt[3]{9}$
$= (4 \times \sqrt[3]{3} \times 5) \times \sqrt[3]{9}$
$= (20 \times \sqrt[3]{3} \times \sqrt[3]{9})$
$= 20 \times \sqrt[3]{3^{3}}$
$= 20 \times 3$
$= 60$
Hence, the given expression is simplified and is equal to $(4 \sqrt[3]{3}) (5 \sqrt[3]{9}) = 60$

Multiply and simplify where possible.(4\sqrt[3]{3})(5\sqrt[3]{9})

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