SBP-Program

f

tw

in

Multiplying exponents with negative exponents

How to multiply powers with negative exponents?

See the following examples.

Examples of multiplying exponents with negative exponents

Example 1.

Multiply exponents with negative exponents

a-b * a-c =
a-b + (-c) =
a-1(b + c) =
1
ab + c

Example 2.

Simplifying exponents with negative exponents

9-2 * 9-1 =
9-2 + (-1) =
9-3 =
1 = 1
93729

See Powers of 9.

Example 3.

Multiplying exponents with different bases and negative exponents

4-3 * 5-3 =
(4 * 5)-3 =
20-3 =
1 = 1
2038000

See Powers of 2.

Example 4.

Multiplying exponents with the same base and negative exponents

5-4 * 52 =
5-4 + 2 =
5-2 =
1 = 1
5225

See Powers of 5.

Example 5.

Multiplying 3 exponents with negative exponents

8-2 * 8-1 * 8 =
8-2 * 8-1 * 81 =
8-2 + (-1) + 1 =
8-2 =1=1
8264

See Powers of 8.