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0 minus 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

Algebra

Trigonometry

Calculus

1 of 3

$placeholder raised to the placeholder power$	$the placeholder root of placeholder end-root$	$is less than$	(	)		AC
$the fraction with numerator placeholder and denominator placeholder end-fraction$	$the absolute value of placeholder end-absolute-value$	$is less than or equal to$	7	8	9	÷
$log base placeholder of$	$placeholder exclamation mark$	$is greater than$	4	5	6	×
$i$	$%$	$is greater than or equal to$	1	2	3	−
$x$	$y$	$equals$	0	.		+

3 of 3

$the fraction with numerator d and denominator d placeholder end-fraction$	$infinity$	$the placeholder root of placeholder end-root$	(	)		AC
$limit over placeholder right arrow placeholder of$	$limit over placeholder right arrow placeholder raised to the positive power of$	$limit over placeholder right arrow placeholder raised to the negative power of$	7	8	9	÷
$log base placeholder of$	$cap C open paren n comma k close paren$	$cap P open paren n comma k close paren$	4	5	6	×
$sum of$	$integral of placeholder$	$integral from placeholder to placeholder of placeholder$	1	2	3	−
$x$	$y$	$e$	0	.		+

Simplify the expression

Find the excluded values

Simplify

Solution

the fraction with numerator negative 180 cap X to the 307th power minus 864 cap A sub 1 minus cap A squared cap X to the 614th power minus cap A squared cap X to the 107th power and denominator cap X to the 307th power end-fraction

Step

0 minus 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

modified 0 with boxed outline minus 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

Removing

0

doesn't change the value, so remove it from the expression

negative 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

Step

negative 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

negative 180 minus modified 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction with boxed outline minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

Calculate the product

negative 180 minus modified the fraction with numerator 864 cap A sub 1 and denominator cap X to the 307th power end-fraction with boxed outline minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

Step

negative 180 minus the fraction with numerator 864 cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

modified negative 180 minus the fraction with numerator 864 cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction with boxed outline

Write all numerators above the least common denominator

cap X to the 307th power

modified the fraction with numerator negative 180 cap X to the 307th power minus 864 cap A sub 1 minus cap A squared cap X to the 614th power minus cap A squared cap X to the 107th power and denominator cap X to the 307th power end-fraction with boxed outline

Solution

the fraction with numerator negative 180 cap X to the 307th power minus 864 cap A sub 1 minus cap A squared cap X to the 614th power minus cap A squared cap X to the 107th power and denominator cap X to the 307th power end-fraction

Solution

cap X equals 0

Step

0 minus 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction

modified 0 minus 180 minus 864 center dot the fraction with numerator cap A sub 1 and denominator cap X to the 307th power end-fraction minus cap A squared cap X to the 307th power minus the fraction with numerator cap A squared and denominator cap X to the 200th power end-fraction with boxed outline

To find the excluded values, set the denominators equal to

0

Step

2 lines; Line 1: cap X to the 307th power equals 0; Line 2: cap X to the 200th power equals 0 end-lines;

2 lines; Line 1: modified cap X to the 307th power with boxed outline equals 0; Line 2: cap X to the 200th power equals 0 end-lines;

Solve the equation for

cap X

2 lines; Line 1: modified cap X with boxed outline equals 0; Line 2: cap X to the 200th power equals 0 end-lines;

Step

2 lines; Line 1: cap X equals 0; Line 2: cap X to the 200th power equals 0 end-lines;

2 lines; Line 1: cap X equals 0; Line 2: modified cap X to the 200th power with boxed outline equals 0 end-lines;

Solve the equation for

cap X

2 lines; Line 1: cap X equals 0; Line 2: modified cap X with boxed outline equals 0 end-lines;

Step

2 lines; Line 1: cap X equals 0; Line 2: cap X equals 0 end-lines;

2 lines; Line 1: cap X equals 0; Line 2: modified cap X equals 0 with boxed outline end-lines;

The excluded value of the initial expression is

0

cap X equals 0

Solution

cap X equals 0

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