Rules of exponents

Front

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

Back

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

Front

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

Back

Subtract the exponents. Example: a^m / a^n = a^(m-n)

Front

What happens when you raise a power to another power?

Back

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

Front

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

Back

1. Example: a^0 = 1 (where a ≠ 0)

Front

What is the value of x^0?

Back

1.

Front

What is the rule for negative exponents?

Back

a^(-n) = 1 / a^n.

Front

Simplify: (x^2)(x^3)

Back

x^(2+3) = x^5.

Front

Simplify: (y^4)/(y^2)

Back

y^(4-2) = y^2.

Front

What is the value of x^(-6)?

Back

1 / x^6.

Front

What is the result of (2^3)(2^2)?

Back

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