Use the distributive property to expand the expression:

\[ 18 \times 3 = (10 + 8) \times 3 \]

\[ = 10 \times 3 + 8 \times 3 \]

\[ = 30 + 24 \]

\[ = 54 \]

its like a*(b + c) = [a b + a c] or (b + c) a = [b a + c a] let 18 = 8 + 10, here b = 8 & c = 10, & a = 3 writing it like (8 + 10) 3 = [8 3 + 10 3] = 24 + 30 = 54.

Answered by here2help | 2024-06-10

The rule being referenced here is about exponentiation and how to handle it when it involves multiplication of expressions with the same base. When dealing with expressions like 32×35, you can simplify by adding the exponents together since the bases are the same, resulting in 37. A similar principle applies to (53)4, except in this case, you multiply the exponents, 3 and 4, which gives you 512. This is because you have four groups of 53, which expands to twelve 5's multiplied together. When cubing exponentials, such as in the expression (2x3)3, you cube the coefficient (2) as usual and multiply the exponent of x by 3, giving you 8x9. Always remember that when an entire expression is raised to a power, everything within the parentheses is affected.

Answered by RodStewart | 2024-06-19

Using the distributive property on ( 10 + 8 ) × 3 , we find that 10 × 3 + 8 × 3 = 30 + 24 = 54 . This illustrates that expanding the expression yields the same result as directly multiplying 18 by 3.
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Answered by RodStewart | 2024-10-30