Exponent Rules!

Front

Anything raised to the zero power (except zero) is equal to what?

Back

1, one

Front

What is the product of two powers with the same base?

Back

Add the exponents: a^m * a^n = a^(m+n)

Front

What is the quotient of two powers with the same base?

Back

Subtract the exponents: a^m / a^n = a^(m-n) (where a ≠ 0)

Front

What happens when you raise a power to another power?

Back

Multiply the exponents: (a^m)^n = a^(m*n)

Front

What is a negative exponent?

Back

a^(-n) = 1/(a^n) (where a ≠ 0)

Front

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

Back

The number itself: a^1 = a

Front

What is the value of 10^3?

Back

1000

Front

What is the value of (2^3) * (2^2)?

Back

2^(3+2) = 2^5 = 32

Front

What is the value of (3^4) / (3^2)?

Back

3^(4-2) = 3^2 = 9

Front

What does it mean to have a base of 0 with a positive exponent?

Back

0 raised to any positive exponent is 0: 0^n = 0 (where n > 0)