Question
Solve the equation
x=25900
Alternative Form
x≈1.94903
Evaluate
54×15x4×32x=1
Multiply
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Evaluate
54×15x4×32x
Multiply the terms
More Steps

Evaluate
54×32
To multiply the fractions,multiply the numerators and denominators separately
5×34×2
Multiply the numbers
5×38
Multiply the numbers
158
158×15x4x
Multiply the terms
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Evaluate
158×15x4
Multiply the terms
15×158x4
Multiply the terms
2258x4
2258x4x
Multiply the terms
2258x4×x
Multiply the terms
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Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
2258x5
2258x5=1
Cross multiply
8x5=225
Divide both sides
88x5=8225
Divide the numbers
x5=8225
Take the 5-th root on both sides of the equation
5x5=58225
Calculate
x=58225
Solution
More Steps

Evaluate
58225
To take a root of a fraction,take the root of the numerator and denominator separately
585225
Multiply by the Conjugate
58×5845225×584
Simplify
58×5845225×2254
Multiply the numbers
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Evaluate
5225×2254
Multiply the terms
5900×22
Use the commutative property to reorder the terms
225900
58×584225900
Multiply the numbers
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Evaluate
58×584
The product of roots with the same index is equal to the root of the product
58×84
Calculate the product
585
Transform the expression
5215
Reduce the index of the radical and exponent with 5
23
23225900
Reduce the fraction
More Steps

Evaluate
2322
Use the product rule aman=an−m to simplify the expression
23−21
Subtract the terms
211
Simplify
21
25900
x=25900
Alternative Form
x≈1.94903
Show Solution
