exponents

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself. For example, in 2³, 2 is the base and 3 is the exponent.

Front

What does x⁵ x⁷ simplify to?

Back

x¹²

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, you add the exponents. For example, a^m ⋅ aⁿ = a^m+n.

Front

What does n⁴ ⋅ n⁷ simplify to?

Back

n¹¹

Front

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

Back

You subtract the exponents. For example, h⁸ / h³ = h^8-3 = h⁵.

Front

What does 5³ ⋅ 5⁴ simplify to?

Back

5⁷

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when you divide two powers with the same base, you subtract the exponent of the denominator from the exponent of the numerator.

Front

Evaluate x¹³ / x⁸.

Back

x⁵

Front

What is the value of 2⁰?

Back

2⁰ = 1, because any non-zero number raised to the power of zero is 1.

Front

What does (a^m)ⁿ equal?

Back

(a^m)ⁿ = a^m*n, which means you multiply the exponents.