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Type your math problem... a x a ^(1/2)

x

Question

Simplify the expression

a a \times x

Evaluate

a x a^{\frac{1}{2}}

Multiply the terms with the same base by adding their exponents

a^{1 + \frac{1}{2}} x

Add the numbers

More Steps

Evaluate

1 + \frac{1}{2}

Reduce fractions to a common denominator

\frac{2}{2} + \frac{1}{2}

Write all numerators above the common denominator

\frac{2 + 1}{2}

Add the numbers

\frac{3}{2}

a^{\frac{3}{2}} x

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

a^{3} \times x

Solution

More Steps

Evaluate

a^{3}

Rewrite the exponent as a sum

a^{2 + 1}

Use a^{m + n} = a^{m} \times a^{n} to expand the expression

a^{2} \times a

The root of a product is equal to the product of the roots of each factor

a^{2} \times a

Reduce the index of the radical and exponent with 2

a a

a a \times x

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