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Precalculus Examples
Step 1
Step 1.1
Simplify each term.
Step 1.1.1
Raise to the power of .
Step 1.1.2
Multiply by .
Step 1.2
Simplify by adding and subtracting.
Step 1.2.1
Subtract from .
Step 1.2.2
Add and .
Step 2
Step 2.1
Simplify each term.
Step 2.1.1
Raise to the power of .
Step 2.1.2
Multiply by .
Step 2.2
Simplify by adding and subtracting.
Step 2.2.1
Subtract from .
Step 2.2.2
Add and .
Step 3
Add to both sides of the equation.
Step 4
Subtract from both sides of the equation.
Step 5
Step 5.1
Factor out of .
Step 5.2
Factor out of .
Step 5.3
Factor out of .
Step 6
Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
Step 6.2.1
Cancel the common factor of .
Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
Step 6.3.1
Divide by .
Step 7
Add to both sides of the equation.
Step 8
Step 8.1
Divide each term in by .
Step 8.2
Simplify the left side.
Step 8.2.1
Cancel the common factor of .
Step 8.2.1.1
Cancel the common factor.
Step 8.2.1.2
Divide by .
Step 9
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 10
Step 10.1
Rewrite as .
Step 10.2
Multiply by .
Step 10.3
Combine and simplify the denominator.
Step 10.3.1
Multiply by .
Step 10.3.2
Raise to the power of .
Step 10.3.3
Use the power rule to combine exponents.
Step 10.3.4
Add and .
Step 10.3.5
Rewrite as .
Step 10.3.5.1
Use to rewrite as .
Step 10.3.5.2
Apply the power rule and multiply exponents, .
Step 10.3.5.3
Combine and .
Step 10.3.5.4
Cancel the common factor of .
Step 10.3.5.4.1
Cancel the common factor.
Step 10.3.5.4.2
Rewrite the expression.
Step 10.3.5.5
Evaluate the exponent.
Step 10.4
Simplify the numerator.
Step 10.4.1
Rewrite as .
Step 10.4.2
Raise to the power of .
Step 10.5
Simplify the numerator.
Step 10.5.1
Combine using the product rule for radicals.
Step 10.5.2
Multiply by .
Step 11
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 12