Which of the following is an equivalent expression to 7/((- 5.3) ^ 0) + 4 * 9 when applying the Zero Power Rule? (1 point) 7/5.3 + 4 * 9; 7/(5.3 deg) + 36; 7/1 + 4 * 9 ○ 7/0 + 4 * 9
The value of anything raised to the power of 0 is always 1. Therefore, the expression 7/((- 5.3) ^ 0) is equivalent to 7/1. So the correct option is 7/1 + 4 * 9.
The Zero Power Rule states that any number (except zero) raised to the power of zero is equal to 1. Applying the Zero Power Rule to the expression, we have:
7/((-5.3)^0) + 4 * 9
Since (-5.3)^0 equals 1, we can simplify the expression to:
7/1 + 4 * 9
Therefore, the equivalent expression when applying the Zero Power Rule is:
7/1 + 4 * 9.
To apply the Zero Power Rule, we need to understand that any number raised to the power of zero equals 1. In this case, (-5.3)^0 equals 1, as any number (except for zero) raised to the power of zero has a value of 1.
Now let's simplify the given expression using the Zero Power Rule:
7/((-5.3)^0) + 4 * 9
Since (-5.3)^0 equals 1, the expression becomes:
7/1 + 4 * 9
Now we can simplify further:
7/1 is simply 7, so the expression simplifies to:
7 + 4 * 9
To find the final equivalent expression, we need to evaluate the multiplication before addition.
4 * 9 equals 36, so the expression simplifies to:
7 + 36
Finally, performing the addition, the final equivalent expression is:
43
Answer: The equivalent expression to 7/((-5.3)^0) + 4 * 9, when applying the Zero Power Rule, is 43.