Question
Simplify the expression
1024x2
Evaluate
(32x)2÷(22x)0
Rewrite the expression
(22x)0(32x)2
Evaluate the power
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Evaluate
(32x)2
To raise a product to a power,raise each factor to that power
322x2
Evaluate the power
1024x2
(22x)01024x2
Solution
1024x2
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Find the roots
x∈∅
Evaluate
(32x)2÷(22x)0
To find the roots of the expression,set the expression equal to 0
(32x)2÷(22x)0=0
Find the domain
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Evaluate
{22x=0(22x)0=0
Calculate
{x=0(22x)0=0
Calculate
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Evaluate
(22x)0=0
Simplify
1=0
The statement is true for any value of x
x∈R
{x=0x∈R
Find the intersection
x=0
(32x)2÷(22x)0=0,x=0
Calculate
(32x)2÷(22x)0=0
Divide the terms
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Evaluate
(32x)2÷(22x)0
Rewrite the expression
(22x)0(32x)2
Evaluate the power
More Steps

Evaluate
(32x)2
To raise a product to a power,raise each factor to that power
322x2
Evaluate the power
1024x2
(22x)01024x2
Simplify
1024x2
1024x2=0
Rewrite the expression
x2=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution
