Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
15x7
Evaluate
x×1x3×3x2×5x3
Dividing by an is the same as multiplying by a−n
x3×3x2×5x3×x−1
Multiply the terms with the same base by adding their exponents
x3+2+3−1×3×5
Calculate the sum or difference
x7×3×5
Multiply the terms
x7×15
Solution
15x7
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Find the excluded values
x=0
Evaluate
x×1x3×3x2×5x3
To find the excluded values,set the denominators equal to 0
x×1=0
Solution
x=0
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Find the roots
x∈∅
Evaluate
x×1x3×3x2×5x3
To find the roots of the expression,set the expression equal to 0
x×1x3×3x2×5x3=0
Any expression multiplied by 1 remains the same
x×1x3×3x2×5x3=0,x=0
Calculate
x×1x3×3x2×5x3=0
Multiply
More Steps
Multiply the terms
x3×3x2×5x3
Multiply the terms with the same base by adding their exponents
x3+2+3×3×5
Add the numbers
x8×3×5
Multiply the terms
x8×15
Use the commutative property to reorder the terms
15x8
x×115x8=0
Any expression multiplied by 1 remains the same
x15x8=0
Divide the terms
More Steps
Evaluate
x15x8
Use the product rule aman=an−m to simplify the expression
115x8−1
Simplify
15x8−1
Divide the terms
15x7
15x7=0
Rewrite the expression
x7=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