Question
Simplify the expression
7a5−a4
Evaluate
7a×a4−a4
Solution
More Steps

Evaluate
7a×a4
Multiply the terms with the same base by adding their exponents
7a1+4
Add the numbers
7a5
7a5−a4
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Factor the expression
a4(7a−1)
Evaluate
7a×a4−a4
Multiply
More Steps

Evaluate
7a×a4
Multiply the terms with the same base by adding their exponents
7a1+4
Add the numbers
7a5
7a5−a4
Rewrite the expression
a4×7a−a4
Solution
a4(7a−1)
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Find the roots
a1=0,a2=71
Alternative Form
a1=0,a2=0.1˙42857˙
Evaluate
7a(a4)−(a4)
To find the roots of the expression,set the expression equal to 0
7a(a4)−(a4)=0
Calculate
7a×a4−(a4)=0
Calculate
7a×a4−a4=0
Multiply
More Steps

Multiply the terms
7a×a4
Multiply the terms with the same base by adding their exponents
7a1+4
Add the numbers
7a5
7a5−a4=0
Factor the expression
a4(7a−1)=0
Separate the equation into 2 possible cases
a4=07a−1=0
The only way a power can be 0 is when the base equals 0
a=07a−1=0
Solve the equation
More Steps

Evaluate
7a−1=0
Move the constant to the right-hand side and change its sign
7a=0+1
Removing 0 doesn't change the value,so remove it from the expression
7a=1
Divide both sides
77a=71
Divide the numbers
a=71
a=0a=71
Solution
a1=0,a2=71
Alternative Form
a1=0,a2=0.1˙42857˙
Show Solution
