# SBP-Program

## Exponents with negative bases and negative powers

How to solve problems related to exponents with negative bases and powers?

See the following examples.

### Evaluate exponents

Problem 1: Evaluate the exponent with the negative base and power

(-3)-5

Solution:

1 1 (-3)-5 = = – (-3)5 243

See Powers of 3.

Problem 2: Evaluate the exponent with negative base and negative power

(-3)-6

Solution:

1 1 (-3)-6 = = (-3)6 729

See Powers of 3.

Problem 3: Evaluate exponents with different negative bases and the same negative exponent

(-4)-3 * 3-3

Solution:

1 1 (-4)-3 * 3-3 =(-4 * 3)-3 =(-12)-3 = = – (-12)3 1728

Problem 4: Evaluate exponents with the same negative base and negative and positive exponents

(-6)-7 * (-6)2

Solution:

1 1 (-6)-7 * (-6)2 =(-6)-7 + 2 =(-6)-5 = = – (-6)5 7776

See Powers of 6.

Problem 5: Evaluate exponents with different negative bases and the same negative exponent

(-18)-11 ÷ (6)-11

Solution:

1 1 (-18)-11 ÷ (6)-11 =(-18 ÷ 6)-11 =(-3)-11 = =  – (-3)11 177147

See Powers of 3.

Problem 6: Evaluate exponents with negative bases and negative exponents

(-9)-21 ÷ (-9)-18

Solution:

1 1 (-9)-21 ÷ (-9)-18 =(-9)-21 - (-18) =(-9)-3 = =  – (-9)3 729

See Powers of 9.