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.
We know, for example, that (2+3)+5=2+(3+5) and 2 (3-5) = (2-3). 5. The
grouping with parentheses does not affect the value of the expression.
Is this true for exponents? That is, are the numbers 2(3³).
(23) equal? If not, which is
bigger? Which of the two would you choose as the meaning of the expression 2.3 writter
without parentheses?

1 Answer

5 votes

Answer: No, the numbers 2(3³) and (23) are not equal.

2(3³) means 2 multiplied by 3 raised to the power of 3, which is equal to 2 times 27, or 54.

(23) means 2 raised to the power of 3, and then that result raised to the power of 2, which is equal to 8 raised to the power of 2, or 64.

So, (23) is bigger than 2(3³).

If we write 2.3 without parentheses, it could be interpreted in two different ways: as the product of 2 and 3, which is 6, or as the number 23. To avoid confusion, it's important to use parentheses or other grouping symbols to indicate the intended meaning of an expression.

Explanation:

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