Question

PLEASE HELP ME I DONT KNOW WHAT IM DOING I GOT IT WRONG LIKE 20 TIMES PLEASE EXPLAIN HOW TO DO THIS STEP BY STEP

Answer 1

m = 5

n = 2

c = 7

Explanation:

Use the property of degrees (when dividing two same based numbers with different degree indicators, the degree indicators are subtracted)

`\frac{ {9}^( - 3) }{ {9}^(2) } = \frac{1}{ {9}^(m) }`

`{9}^( - 3 - 2) = {9}^( - 5)`

`{9}^( - 5) = \frac{1}{ {9}^(m) }`

If the degree indicator is negative, the number is written as a fraction (1 in the numerator) and the degree indicator is raised to the denominator with a positive sign:

m = 5

.

`\frac{ {x}^( - 4) }{ {x}^( - 6) } = {x}^(n)`

`{x}^( - 4 - ( - 6) ) = {x}^( - 4 + 6) = {x}^(2)`

n = 2

.

`\frac{ ({ - 11})^(7) }{ ( { - 11})^(0) } = ( { - 11})^(c)`

Raising any number to the zero power makes it one

`\frac{ ({ - 11})^(7) }{1} = ({ - 11})^(c)`

When dividing by 1, the number does not change

`( { - 11})^(7) = ({ - 11})^(c)`

c = 7