Properties of Exponents

Front

What is the value of any number raised to the power of zero?

Back

1

Front

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

Back

Add their exponents.

Front

Simplify the expression (2a^2b^4z)(6a^3b^2z^5).

Back

12a^5b^6z^6

Front

How do you simplify the expression 5x^3 * 2x^2?

Back

10x^5

Front

How can you express (2/5)^4 as repeated multiplication?

Back

(2/5)(2/5)(2/5)(2/5)

Front

What is the value of a^0 for any non-zero number a?

Back

1

Front

What is the result of multiplying a^m * a^n?

Back

a^(m+n)

Front

What is the result of dividing a^m by a^n?

Back

a^(m-n)

Front

What is the power of a product rule?

Back

(ab)^n = a^n * b^n

Front

What is the power of a quotient rule?

Back

(a/b)^n = a^n / b^n