Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
16n1427
Evaluate
(2n5)4(3n2)3
Factor the expression
(2n5)427n6
Factor the expression
16n2027n6
Solution
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Calculate
n20n6
Use the product rule aman=an−m to simplify the expression
n20−61
Subtract the terms
n141
16n1427
Show Solution
Find the excluded values
n=0
Evaluate
(2n5)4(3n2)3
To find the excluded values,set the denominators equal to 0
(2n5)4=0
Evaluate the power
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Evaluate
(2n5)4
To raise a product to a power,raise each factor to that power
24(n5)4
Evaluate the power
16(n5)4
Evaluate the power
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Evaluate
(n5)4
Multiply the exponents
n5×4
Multiply the terms
n20
16n20
16n20=0
Rewrite the expression
n20=0
Solution
n=0
Show Solution
Find the roots
n∈∅
Evaluate
(2n5)4(3n2)3
To find the roots of the expression,set the expression equal to 0
(2n5)4(3n2)3=0
Find the domain
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Evaluate
(2n5)4=0
Evaluate the power
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Evaluate
(2n5)4
To raise a product to a power,raise each factor to that power
24(n5)4
Evaluate the power
16(n5)4
Evaluate the power
16n20
16n20=0
Rewrite the expression
n20=0
The only way a power can not be 0 is when the base not equals 0
n=0
(2n5)4(3n2)3=0,n=0
Calculate
(2n5)4(3n2)3=0
Divide the terms
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Evaluate
(2n5)4(3n2)3
Factor the expression
(2n5)427n6
Factor the expression
16n2027n6
Reduce the fraction
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Calculate
n20n6
Use the product rule aman=an−m to simplify the expression
n20−61
Subtract the terms
n141
16n1427
16n1427=0
Cross multiply
27=16n14×0
Simplify the equation
27=0
Solution
n∈∅
Show Solution