Questions: x^(3/4) · x^(5/4)

Solution Steps

To solve the expression \(x^{\frac{3}{4}} \cdot x^{\frac{5}{4}}\), we can use the property of exponents that states when multiplying like bases, we add the exponents. Therefore, we add \(\frac{3}{4}\) and \(\frac{5}{4}\) to simplify the expression.

We start with the expression \(x^{\frac{3}{4}} \cdot x^{\frac{5}{4}}\).

Using the property of exponents that states \(a^m \cdot a^n = a^{m+n}\), we add the exponents: \[ \frac{3}{4} + \frac{5}{4} = \frac{3 + 5}{4} = \frac{8}{4} = 2 \]

Thus, we can simplify the original expression to: \[ x^{\frac{3}{4}} \cdot x^{\frac{5}{4}} = x^{2} \]

Final Answer