Question
Simplify the expression
16x101
Evaluate
(4x5)−2
To raise a product to a power,raise each factor to that power
4−2(x5)−2
Evaluate the power
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Evaluate
4−2
Rewrite the expression
421
Simplify
161
161(x5)−2
Evaluate the power
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Evaluate
(x5)−2
Multiply the exponents
x5(−2)
Multiply the terms
x−10
161x−10
Express with a positive exponent using a−n=an1
161×x101
Solution
16x101
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Find the roots
x∈∅
Evaluate
(4x5)−2
To find the roots of the expression,set the expression equal to 0
(4x5)−2=0
Find the domain
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Evaluate
4x5=0
Rewrite the expression
x5=0
The only way a power can not be 0 is when the base not equals 0
x=0
(4x5)−2=0,x=0
Calculate
(4x5)−2=0
Rewrite the expression
(4x5)21=0
Cross multiply
1=(4x5)2×0
Simplify the equation
1=0
Solution
x∈∅
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