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Multiplying exponents with base 10

How to multiply powers with base 10?

See the following examples.

Examples of multiplying exponents with base 10

Example 1.

Multiplying exponents with base 10

10a * 10b =
10a + b

Example 2.

Multiply exponents with base 10

104 * 102 =
104 + 2 =
106 = 1 000 000

See Powers of 10.

Example 3.

Multiply powers with base 10

(7 + 3)3 * (8 + 2)5 =
103 * 105 =
103 + 5 =
108 = 100 000 000

See Powers of 10.

Example 4.

Multiply exponents with base 10 and negative exponents

10-2 * 10-5 =
10-2 + (-5) =
10-7 =
1 = 1
10710 000 000

See Powers of 10.

Example 5.

Multiplying powers with base 10 and negative exponents

10-10 * 108 =
10-10 + 8 =
10-2 =
1 = 1
102100

See Powers of 10.