Properties of Exponents

Front

What is the property of exponents that states any non-zero number raised to the power of zero equals one?

Back

For any non-zero number a, a^0 = 1.

Front

How do you simplify the expression a^m * a^n?

Back

You add the exponents: a^m * a^n = a^(m+n).

Front

What is the property of exponents that states when raising a power to a power, you multiply the exponents?

Back

(a^m)^n = a^(m*n).

Front

How do you simplify the expression (ab)^n?

Back

You apply the exponent to both factors: (ab)^n = a^n * b^n.

Front

What is the result of simplifying the expression a^m / a^n?

Back

You subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the property of exponents that allows you to express a negative exponent as a positive exponent?

Back

a^(-n) = 1/(a^n) for any non-zero a.

Front

How do you simplify the expression (x^2y^3)^4?

Back

You apply the exponent to both variables: (x^2y^3)^4 = x^(2*4) * y^(3*4) = x^8 * y^12.

Front

What is the result of multiplying two powers with the same base?

Back

You add the exponents: a^m * a^n = a^(m+n).

Front

How do you simplify the expression (2^3)^2?

Back

You multiply the exponents: (2^3)^2 = 2^(3*2) = 2^6.

Front

What is the result of simplifying the expression 5^0?

Back

5^0 = 1.