Properties of Exponents: Product and Power

Front

What is the Product Rule for exponents?

Back

When multiplying two expressions with the same base, keep the base and add the exponents.

Front

Simplify: 2^3 x 2^4

Back

2^7

Front

What is the Power Rule for exponents?

Back

When raising a power to another power, multiply the exponents.

Front

Simplify: (x^3)^4

Back

x^{12}

Front

What is the definition of an exponent?

Back

An exponent indicates how many times to multiply the base by itself.

Front

Simplify: 5^2 x 5^3

Back

5^5

Front

If a^m x a^n = a^? What is the value of '?'?

Back

m + n

Front

Simplify: (3x^2)^3

Back

27x^6

Front

What happens when you divide two expressions with the same base?

Back

Keep the base and subtract the exponents.

Front

Simplify: x^5 / x^2

Back

x^3