Question
Apply the zero power rule to create an equivalent expression to 9*(-33)^0 +3/2 (8-27^0)=
Answers
Answered by
GPT 3.5
Applying the zero power rule, any non-zero number raised to the power of 0 equals 1. Therefore, we can simplify the expression as follows:
9 * (-33)^0 + 3/2 * (8 - 27^0)
Since (-33)^0 equals 1, the first term simplifies to:
9 * 1 + 3/2 * (8 - 1)
Simplifying further:
9 + 3/2 * 7
Multiplying:
9 + 21/2
To add these fractions, we need a common denominator. Converting 9 to a fraction, we have:
18/2 + 21/2
Adding the fractions:
(18 + 21) / 2
Which gives us the final result of:
39/2
9 * (-33)^0 + 3/2 * (8 - 27^0)
Since (-33)^0 equals 1, the first term simplifies to:
9 * 1 + 3/2 * (8 - 1)
Simplifying further:
9 + 3/2 * 7
Multiplying:
9 + 21/2
To add these fractions, we need a common denominator. Converting 9 to a fraction, we have:
18/2 + 21/2
Adding the fractions:
(18 + 21) / 2
Which gives us the final result of:
39/2
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