Solve (22/7x^0.7)^2

$$( \frac { 22 } { 7 } x ^ { 0.7 } ) ^ { 2 }$$

Evaluate

$$\frac{484x^{1.4}}{49}$$

Solution Steps

Expand \left(\frac{22}{7}x^{0.7}\right)^{2}.

$$\left(\frac{22}{7}\right)^{2}\left(x^{0.7}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 0.7 and 2 to get 1.4.

$$\left(\frac{22}{7}\right)^{2}x^{1.4}$$

Calculate \frac{22}{7} to the power of 2 and get \frac{484}{49}.

$$\frac{484}{49}x^{1.4}$$

Expand

$$\frac{484x^{1.4}}{49}$$

Solution Steps

Expand \left(\frac{22}{7}x^{0.7}\right)^{2}.

$$\left(\frac{22}{7}\right)^{2}\left(x^{0.7}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 0.7 and 2 to get 1.4.

$$\left(\frac{22}{7}\right)^{2}x^{1.4}$$

Calculate \frac{22}{7} to the power of 2 and get \frac{484}{49}.

$$\frac{484}{49}x^{1.4}$$