Solve (a/b)(a/b)(a/b)^3=

$$( \frac { a } { b } ) ( \frac { a } { b } ) ( \frac { a } { b } ) ^ { 3 } =$$

Evaluate

$$\left(\frac{a}{b}\right)^{5}$$

Solution Steps

Multiply \frac{a}{b} and \frac{a}{b} to get \left(\frac{a}{b}\right)^{2}.

$$\left(\frac{a}{b}\right)^{2}\times \left(\frac{a}{b}\right)^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\left(\frac{a}{b}\right)^{5}$$

To raise \frac{a}{b} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{a^{5}}{b^{5}}$$

Expand

$$\left(\frac{a}{b}\right)^{5}$$

Solution Steps

Multiply \frac{a}{b} and \frac{a}{b} to get \left(\frac{a}{b}\right)^{2}.

$$\left(\frac{a}{b}\right)^{2}\times \left(\frac{a}{b}\right)^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$\left(\frac{a}{b}\right)^{5}$$

To raise \frac{a}{b} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{a^{5}}{b^{5}}$$