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# Algebra Examples

Multiply by .

Combine and simplify the denominator.

Multiply and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

To write as a fraction with a common denominator, multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Combine using the product rule for radicals.

Multiply by .

Combine and simplify the denominator.

Multiply and .

Move .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Apply the distributive property.

Multiply .

Combine using the product rule for radicals.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Simplify each term.

Pull terms out from under the radical.

Apply the distributive property.

Apply the distributive property.

Multiply the numerator by the reciprocal of the denominator.

Multiply and .

Reorder factors in .