Question
Simplify the expression
100x51
Evaluate
21×2x−1×51×5x−4
Rewrite the expression
More Steps

Evaluate
2x−1
Express with a positive exponent using a−n=an1
2x1
Simplify
2x1
21×2x1×51×5x−4
Rewrite the expression
More Steps

Evaluate
5x−4
Express with a positive exponent using a−n=an1
5x41
Simplify
5x41
21×2x1×51×5x41
Multiply the terms
More Steps

Evaluate
21×51
To multiply the fractions,multiply the numerators and denominators separately
2×51
Multiply the numbers
101
101×2x1×5x41
Multiply the terms
More Steps

Evaluate
101×2x1
Multiply the terms
10×2x1
Multiply the terms
20x1
20x1×5x41
Multiply the terms
20x×5x41
Solution
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Evaluate
20x×5x4
Multiply the numbers
100x×x4
Multiply the terms
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Evaluate
x×x4
Use the product rule an×am=an+m to simplify the expression
x1+4
Add the numbers
x5
100x5
100x51
Show Solution

Find the roots
x∈∅
Evaluate
21×2x−1×51×5x−4
To find the roots of the expression,set the expression equal to 0
21×2x−1×51×5x−4=0
Find the domain
21×2x−1×51×5x−4=0,x=0
Calculate
21×2x−1×51×5x−4=0
Rewrite the expression
More Steps

Evaluate
2x−1
Express with a positive exponent using a−n=an1
2x1
Simplify
2x1
21×2x1×51×5x−4=0
Rewrite the expression
More Steps

Evaluate
5x−4
Express with a positive exponent using a−n=an1
5x41
Simplify
5x41
21×2x1×51×5x41=0
Multiply
More Steps

Multiply the terms
21×2x1×51×5x41
Multiply the terms
More Steps

Evaluate
21×51
To multiply the fractions,multiply the numerators and denominators separately
2×51
Multiply the numbers
101
101×2x1×5x41
Multiply the terms
More Steps

Evaluate
101×2x1
Multiply the terms
10×2x1
Multiply the terms
20x1
20x1×5x41
Multiply the terms
20x×5x41
Multiply the terms
More Steps

Evaluate
20x×5x4
Multiply the numbers
100x×x4
Multiply the terms
100x5
100x51
100x51=0
Cross multiply
1=100x5×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution
