You can apply the following general rules about exponents:

**Zero exponent rule:**Any number raised to the zero power is equal to 1.

**Product rule:**When multiplying numbers with the same base, add the exponents.

**Power rule:**When raising a power to a power (inside/outside exponents), multiply the exponents.

**Quotient rule:**When dividing numbers with the same base, subtract the exponent of the denominator from the exponent of the numerator.

**Negative exponent rule 1:**A negative exponent in the numerator indicates that part of the term belongs in the denominator.

**Negative exponent rule 2:**A negative exponent in the denominator indicates that part of the term belongs in the numerator.

**Negative exponent rule 3:**When raising an entire quotient to a negative exponent, you can "flip" the fraction (use the reciprocal).

**Distribution rule 1:**When raising an entire product to a power, distribute the exponent to each part of the product.

**Distribution rule 2:**When raising an entire quotient to a power, distribute the exponent to each part of the quotient.

Keep in mind that you should never distribute over addition or subtraction! For example,

it really means (*x* + *y*)^{2} = (*x* + *y*)(*x* + *y*).

## Practice questions

## Answers and explanations

**The correct answer is Choice (C).**Using the power rule for exponents you multiply the inside/outside exponents. Multiplying the exponents results in which means the answer is Choice (C),*x*^{2/3}.**The correct answer is Choice (D).**You should notice that you must use both the order of operations and the exponent rules. Recall that anything to the 0 power is 1, so using the exponent rules you get 3(1 + 25) = 3(26) = 78, which is Choice (D). Choices (A) and (C) result from applying the 0 exponent rule incorrectly.