Product of powers with the same base

a^m\cdot a^n=a^{m+n}

Result unit: — (liczba)

What it describes

When multiplying powers with the same base, add their exponents.

a

base (

a>0

)

m, n

exponents

When multiplying powers with the same base, you add up “how many times you multiply,” that is, you add the exponents.

Simplifying expressions with powers that share a common base.

Evaluate

2^3\cdot2^4

Substitution

3+4=7

Result

2^7=128

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