Answered

Which expression is NOT equal to 125? (1 point)

5 times the quotient 5 cubed over two-fifths, raised to the second power

the quotient 5 cubed over 5 to the fourth, raised to the negative 3 power

5 to the negative 2 over 5 to the negative 5

5 times the quotient 5 to the 5 over 5 cubed

Verified Answer :

choice 1:
= 5 [5^3 / (2/5)]^2
= by looking at the equation, it's kinda not equal to 125

choice 2:
= [5^3 / 5^4]^-3
= 5^-9 / 5^-12
= 5^(-9 - -12)
= 5^3
= 125

choice 3:
= 5^-2 / 5^-5
= 5^(-2 - -5)
= 5^3
= 125

choice 4:
= 5  5^5/5^3
= 5 5^(5-3)
= 5 5^2
= 5^3
= 125

So the expression that is not equal to 125 is:
5 times the quotient 5 cubed over two-fifths, raised to the second power

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