Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
70+4⋅9
Start Fraction 7 over 0 End Fraction plus 4 times 9
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
The correct answer is 70 + 4*9.
When applying the Zero Power Rule, any number raised to the power of 0 is equal to 1. Therefore, 7(-5.3)^0 becomes 7(1) which simplifies to 7.
Since 7(1) is equivalent to 7, the expression becomes 7 + 4*9 which simplifies to 7 + 36.
To apply the Zero Power Rule, any number raised to the power of zero will equal one. So the expression 7(-5.3)^0+4⋅9 can be simplified as follows:
7 * 1 + 4 * 9
This is equivalent to:
7 + 36
Therefore, the equivalent expression is "75.30+36".