Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
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
so a, b, c or d?
The correct answer is 70+4⋅9. By applying the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, 7(-5.3)^0+4⋅9 simplifies to 7(1)+4⋅9, which is equal to 7+36, and further simplifies to 70+4⋅9.
The expression 7(-5.3)^0 + 4 * 9 can be simplified using the Zero Power Rule, which states that any number raised to the power of zero is equal to 1.
Therefore, the equivalent expression is:
7 * 1 + 4 * 9
This simplifies to:
7 + 36
So the correct answer is 71 + 4 * 9.
To find the equivalent expression using the Zero Power Rule, we need to understand how the Zero Power Rule works. The Zero Power Rule states that any number raised to the power of zero is equal to 1.
Let's break down the given expression: 7(-5.3)^0 + 4 * 9
According to the Zero Power Rule, (-5.3)^0 is equal to 1. So, the expression becomes:
7 * 1 + 4 * 9
Now, we can simplify the expression further:
7 + 36
The final equivalent expression is 7 + 36, which simplifies to 43. Therefore, none of the provided options "a, b, c, or d" are equivalent to the original expression.