Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
1
Evaluate
(a3)4(a4)3
Multiply the exponents
a3×4(a4)3
Multiply the exponents
a3×4a4×3
Dividing by an is the same as multiplying by a−n
a4×3×a−3×4
Multiply the numbers
a12×a−3×4
Multiply the numbers
a12×a−12
Use the product rule an×am=an+m to simplify the expression
a12−12
Subtract the numbers
a0
Solution
1
Show Solution
Find the excluded values
a=0
Evaluate
(a3)4(a4)3
To find the excluded values,set the denominators equal to 0
(a3)4=0
Simplify
More Steps
Evaluate
(a3)4
Multiply the exponents
a3×4
Multiply the numbers
a12
a12=0
Solution
a=0
Show Solution
Find the roots
a∈∅
Evaluate
(a3)4(a4)3
To find the roots of the expression,set the expression equal to 0
(a3)4(a4)3=0
Find the domain
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Evaluate
(a3)4=0
Simplify
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Evaluate
(a3)4
Multiply the exponents
a3×4
Multiply the numbers
a12
a12=0
The only way a power can not be 0 is when the base not equals 0
a=0
(a3)4(a4)3=0,a=0
Calculate
(a3)4(a4)3=0
Evaluate the power
More Steps
Evaluate
(a4)3
Transform the expression
a4×3
Multiply the numbers
a12
(a3)4a12=0
Evaluate the power
More Steps
Evaluate
(a3)4
Transform the expression
a3×4
Multiply the numbers
a12
a12a12=0
Simplify the expression
1=0
Solution
a∈∅
Show Solution