Question
Simplify the expression
202t4−t5
Evaluate
202t×t3−t5
Solution
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Evaluate
202t×t3
Multiply the terms with the same base by adding their exponents
202t1+3
Add the numbers
202t4
202t4−t5
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Factor the expression
t4(202−t)
Evaluate
202t×t3−t5
Multiply
More Steps

Evaluate
202t×t3
Multiply the terms with the same base by adding their exponents
202t1+3
Add the numbers
202t4
202t4−t5
Rewrite the expression
t4×202−t4×t
Solution
t4(202−t)
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Find the roots
t1=0,t2=202
Evaluate
202t×t3−t5
To find the roots of the expression,set the expression equal to 0
202t×t3−t5=0
Multiply
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Multiply the terms
202t×t3
Multiply the terms with the same base by adding their exponents
202t1+3
Add the numbers
202t4
202t4−t5=0
Factor the expression
t4(202−t)=0
Separate the equation into 2 possible cases
t4=0202−t=0
The only way a power can be 0 is when the base equals 0
t=0202−t=0
Solve the equation
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Evaluate
202−t=0
Move the constant to the right-hand side and change its sign
−t=0−202
Removing 0 doesn't change the value,so remove it from the expression
−t=−202
Change the signs on both sides of the equation
t=202
t=0t=202
Solution
t1=0,t2=202
Show Solution
