AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYExponent Properties in Expressions and Real-World Change

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Which property of exponents is demonstrated in the equation (x^5)/(x^2)=x^^5−2 ?

A
Quotient of Powers
B
Product of Powers
C
Power of a Power
D
Zero Exponent
3

What is the simplified form of (2⁢x^3⁢y^−2)⋅(3⁢x^−1⁢y^4) ?

A
6 x squared y to the negative 6 power
B
6 x to the 4th power y squared
C
6 x squared y squared
D
6 x squared y to the 6th power
4

When simplified, which expression has the highest final exponent?

A
the fraction with numerator open paren y to the 5th power close paren to the negative 2 power and denominator y to the negative 7 power
B
the fraction with numerator y to the 4th power and denominator open paren y to the 0 power close paren to the 7th power
C
open paren the fraction with numerator y to the 5th power and denominator y squared close paren squared
D
open paren the fraction with numerator y to the 5th power and denominator y to the 4th power close paren to the negative 2 power
5

Which property explains why (a^7)/(a^2)=a^9 is incorrect?

A
Power of a Power
B
Product of Powers
C
Negative Exponent
D
Quotient of Powers
7

Which demonstrates the application of the Negative Exponent Rule for x^−3 ?

A
Rewrite x to the negative 3 power as the fraction with numerator 1 and denominator x cubed.
B
Rewrite x to the negative 3 power as negative x cubed.
C
Rewrite x to the negative 3 power as negative the fraction with numerator 1 and denominator x cubed.
D
Rewrite x to the negative 3 power as the fraction with numerator x cubed and denominator 1.
8

What is the simplified form of ((a^2⁢b^5)^3)/((a⁢b)^−2)÷((a⁢b^−2))/((a^0⁢b)^−2) ?

A
A to the 7th power b to the 17th power
B
1
C
A to the 7th power b to the 20th power
D
A to the 7th power b to the 14th power
9

What is the simplified form of ((2⁢x^2⁢y^−3)^3)/(4⁢x^5⁢y^−2) ?

A
4 x squared y squared
B
the fraction with numerator 2 x and denominator y to the 7th power
C
the fraction with numerator 4 y squared and denominator x to the 7th power
D
2 x to the 11th power y to the negative 11 power
10

Which exponent property is used to simplify x^4⋅x^6=x^10 ?

A
Power of a Power
B
Negative Exponent
C
Quotient of Powers
D
Product of Powers

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