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Explain Bot To determine which of the given expressions is equivalent to (-7)5, let's simplify each expression step by step:
Expression 1: 0 - 7 + (-7) + (-7) • (-7) + (-7)
We start by simplifying multiplication before addition and subtraction:
-7 • (-7) = 49
Now we substitute the value back into the expression:
0 - 7 + (-7) + 49 + (-7)
Combining like terms:
-7 + (-7) = -14
Now we simplify further by adding and subtracting:
0 - 14 + 49 = 35 + (-14) = 21.
Expression 2: 0 - 7 • 5
Again, we start with multiplication:
-7 • 5 = -35
Substituting the value:
0 - 35 = -35.
Expression 3: (-7) • 7 • (-7) - 7 + (-7)
Simplifying multiplication:
(-7) • 7 = -49
Simplifying further:
-49 • (-7) = 343
Now we substitute back into the expression:
343 - 7 + (-7) = 336 + (-14) = 322.
Expression 4: 0 + 5 + 5 - 5 + 5 + 5 • 5
Again, we start with multiplication:
5 • 5 = 25
Now we substitute the value:
0 + 5 + 5 - 5 + 5 + 25
Combining like terms:
5 + 5 = 10
Now we simplify further by adding and subtracting:
0 + 10 - 5 + 5 + 25 = 35.
Based on the simplifications, expression 2: 0 - 7 • 5 is equivalent to (-7)5.