Properties of Exponents

Front

What is the product of powers property of exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power property of exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a product property of exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the zero exponent property?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent property?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify: (2m^4)(5m^2)

Back

10m^6.

Front

Simplify: 5^0

Back

1.

Front

Simplify: 6^3 * 6^2

Back

6^5.

Front

Simplify: (12x^2)(6x^3)^0

Back

12x^2.

Front

What is the quotient of powers property of exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).