Product Rule - Exponents

Front

What is the Product Rule for Exponents?

Back

Front

Simplify the expression: 5a^3b^5 ⋅ 3a^2b^2

Back

15a^5b^7.

Front

Simplify the expression: 2x^3 ⋅ 4x^5

Back

8x^8.

Front

Simplify the expression: 3x^4 ⋅ 6x^6

Back

18x^{10}.

Front

Simplify the expression: -10k^2 ⋅ k

Back

-10k^3.

Front

Simplify the expression: c^{12} ⋅ c^{13}

Back

c^{25}.

Front

What happens to the exponents when multiplying two powers with the same base?

Back

You add the exponents.

Front

If a^m = 2^3 and a^n = 2^4, what is a^{m+n}?

Back

a^{m+n} = 2^{3+4} = 2^7.

Front

What is the result of multiplying 7x^2 by 3x^5?

Back

21x^{7}.

Front

How do you simplify the expression: 4y^3 ⋅ 5y^2?

Back

20y^{5}.