Practice simplifying exponents using the Power of a Quotient Rule.

### 1. Simplify.

**(36/49) ^{1/2}= 6/7**

**Raise the numerator and denominator to the power indicated by the exponent:**

- 36
^{1/2} - 49
^{1/2}

**Simplify the numerator and denominator:**

- 36
^{1/2}= 6 - 49
^{1/2}= 7

**Bring the numerator and denominator together:**

6/7

### 2. Simplify.

**( ab ÷ 180)^{3}= a^{3}b^{3}/5,832,000**

**Raise the numerator and denominator to the power indicated by the exponent:**

*a*^{3}*b*^{3}- 180
^{3}

**Simplify the numerator and denominator:**

*a*^{3}*b*^{3}=*a*^{3}*b*^{3}- 180
^{3}= 5,832,000

**Bring the numerator and denominator together:**

*a*^{3}*b*^{3}/5,832,000

### 3. Simplify.

**(-5/ p)^{3}= -125/p^{3}**

**Raise the numerator and denominator to the power indicated by the exponent:**

- -5
^{3} *p*^{3}

**Simplify the numerator and denominator:**

- -5
^{3}= -125 *p*^{3}=*p*^{3}

**Bring the numerator and denominator together:**

-125/*p*^{3}

### 4. Simplify.

**(- f/g)^{7}= -f^{ 7}/g ^{7}**

**Raise the numerator and denominator to the power indicated by the exponent:**

- -
*f*^{ 7} *g*^{ 7}

**Simplify the numerator and denominator:**

- -
*f*^{7}= -*f*^{ 7} *g*^{ 7}=*g*^{ 7}

**Bring the numerator and denominator together:**

-*f *^{7}/*g*^{ 7}

### 5. Simplify.

**( e/20)^{-1}= 20/e**

**Raise the numerator and denominator to the power indicated by the exponent:**

*e*^{-1}*20*^{-1}

**Simplify the numerator and denominator:**

*e*^{-1}= 1/*e*^{1}*20*^{-1}= 1/20^{1}

**Bring the numerator and denominator together:**

20/*e*

### 6. Simplify.

**( xy/Π)^{10}= x^{10}y^{10 }/Π^{10}**

**Raise the numerator and denominator to the power indicated by the exponent:**

*x*^{10}*y*^{10}*Π*^{10}

**Bring the numerator and denominator together:**

*x*^{10}*y*^{10}/*Π*^{10}