An

**exponent** indicates how many times a

**base** value is to be multiplied by itself.

An exponent is sometimes referred to as a

**power** or an

**index**.

5 to a power of 4 means to multiply 5 by itself 4 times.

5^{4} = 5 × 5 × 5 × 5 = 625

4 to a power of 5 means to multiply 4 by itself 5 times.

4^{5} = 4 × 4 × 4 × 4 × 4 = 1,024

ORDER OF OPERATIONS

**Parentheses/Brackets** - from the inside out

**Exponents** - powers/roots

**Multiplication/Divison** - from left to right

**Addition/Subtraction** - from left to right

40 + (66 ÷ 6) × 10 | = | 40 + 11 × 10 |

| = | 40 + 110 |

| = | 150 |

15 - [(5 + 5) × 3] ÷ 6 | = | 15 - [10 × 3] ÷ 6 |

| = | 15 - 30 ÷ 6 |

| = | 15 - 5 |

| = | 10 |