Question
Simplify the expression
q15m15
Evaluate
m×q1×(1×q2m2)×q3m3×q4m4×q5m5
Remove the parentheses
m×q1×1×q2m2×q3m3×q4m4×q5m5
Rewrite the expression
m×q1×q2m2×q3m3×q4m4×q5m5
Multiply the terms
qm×q2m2×q3m3×q4m4×q5m5
Multiply the terms
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Multiply the terms
qm×q2m2
Multiply the terms
q×q2m×m2
Multiply the terms
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Evaluate
m×m2
Use the product rule an×am=an+m to simplify the expression
m1+2
Add the numbers
m3
q×q2m3
Multiply the terms
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Evaluate
q×q2
Use the product rule an×am=an+m to simplify the expression
q1+2
Add the numbers
q3
q3m3
q3m3×q3m3×q4m4×q5m5
Multiply the terms
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Multiply the terms
q3m3×q3m3
Multiply the terms
q3×q3m3×m3
Multiply the terms
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Evaluate
m3×m3
Use the product rule an×am=an+m to simplify the expression
m3+3
Add the numbers
m6
q3×q3m6
Multiply the terms
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Evaluate
q3×q3
Use the product rule an×am=an+m to simplify the expression
q3+3
Add the numbers
q6
q6m6
q6m6×q4m4×q5m5
Multiply the terms
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Multiply the terms
q6m6×q4m4
Multiply the terms
q6×q4m6×m4
Multiply the terms
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Evaluate
m6×m4
Use the product rule an×am=an+m to simplify the expression
m6+4
Add the numbers
m10
q6×q4m10
Multiply the terms
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Evaluate
q6×q4
Use the product rule an×am=an+m to simplify the expression
q6+4
Add the numbers
q10
q10m10
q10m10×q5m5
Multiply the terms
q10×q5m10×m5
Multiply the terms
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Evaluate
m10×m5
Use the product rule an×am=an+m to simplify the expression
m10+5
Add the numbers
m15
q10×q5m15
Solution
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Evaluate
q10×q5
Use the product rule an×am=an+m to simplify the expression
q10+5
Add the numbers
q15
q15m15
Show Solution

Find the excluded values
q=0
Evaluate
m×q1×(1×q2m2)×q3m3×q4m4×q5m5
To find the excluded values,set the denominators equal to 0
q=0q2=0q3=0q4=0q5=0
The only way a power can be 0 is when the base equals 0
q=0q=0q3=0q4=0q5=0
The only way a power can be 0 is when the base equals 0
q=0q=0q=0q4=0q5=0
The only way a power can be 0 is when the base equals 0
q=0q=0q=0q=0q5=0
The only way a power can be 0 is when the base equals 0
q=0q=0q=0q=0q=0
Solution
q=0
Show Solution
