Pre-Algebra Examples

Solve for d 0.189=4d^(-1/3)(13.5)
Step 1
Rewrite the equation as .
Step 2
Multiply by .
Step 3
Divide each term in by and simplify.
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Step 3.1
Divide each term in by .
Step 3.2
Simplify the left side.
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Step 3.2.1
Move to the denominator using the negative exponent rule .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 3.3
Simplify the right side.
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Step 3.3.1
Divide by .
Step 4
Find the LCD of the terms in the equation.
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Step 4.1
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Step 4.2
The LCM of one and any expression is the expression.
Step 5
Multiply each term in by to eliminate the fractions.
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Step 5.1
Multiply each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Rewrite the expression.
Step 6
Solve the equation.
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Step 6.1
Rewrite the equation as .
Step 6.2
Divide each term in by and simplify.
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Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
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Step 6.2.2.1
Cancel the common factor.
Step 6.2.2.2
Divide by .
Step 6.2.3
Simplify the right side.
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Step 6.2.3.1
Divide by .
Step 6.3
Raise each side of the equation to the power of to eliminate the fractional exponent on the left side.
Step 6.4
Simplify the exponent.
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Step 6.4.1
Simplify the left side.
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Step 6.4.1.1
Simplify .
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Step 6.4.1.1.1
Multiply the exponents in .
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Step 6.4.1.1.1.1
Apply the power rule and multiply exponents, .
Step 6.4.1.1.1.2
Cancel the common factor of .
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Step 6.4.1.1.1.2.1
Cancel the common factor.
Step 6.4.1.1.1.2.2
Rewrite the expression.
Step 6.4.1.1.2
Simplify.
Step 6.4.2
Simplify the right side.
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Step 6.4.2.1
Raise to the power of .