Determine the value of the variable in each expression. What is the value of m in the quotient of powers StartFraction 9 Superscript negative 3 Over 9 squared EndFraction = StartFraction 1 Over 9 Superscript m EndFraction? options: -5 -1 1 5 What is the value of n in the quotient of powers StartFraction x Superscript negative 4 Over x Superscript negative 6 EndFraction = x Superscript n options: -10 -2 2 10 What is the value of c in the quotient of powers StartFraction (negative 11) Superscript 7 Over (Negative 11) Superscript 0 EndFraction = (Negative 11) Superscript c options: -7 0 -6 7

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Answer:

m =

✔ 5

n =

✔ 2

c =

✔ 7

The missing values are 5, 2, and 7 after using the integer exponent property in the provided expression.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

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We have expressions shown in the picture.

As we know, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

= 9⁻³/9²

Using the integer exponent property:

= 1/9⁵

= x⁻⁴/x⁻⁶

Using the integer exponent property:

= x²

= (-11)⁷/(-11)⁰

Using the integer exponent property:

= (-11)⁷

Thus, the missing values are 5, 2, and 7 after using the integer exponent property in the provided expression.

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