Exponent Properties

Front

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

Back

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

Front

What is the power of a power property?

Back

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

Front

How do you simplify x^3 * x^3?

Back

Using the product of powers property, x^3 * x^3 = x^(3+3) = x^6.

Front

What is the result of (b^8)^2?

Back

Using the power of a power property, (b^8)^2 = b^(8*2) = b^16.

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

How do you simplify n^9 * n^7 * n^3?

Back

Using the product of powers property, n^9 * n^7 * n^3 = n^(9+7+3) = n^19.

Front

What is the definition of an exponent?

Back

An exponent indicates how many times a base is multiplied by itself: a^n = a * a * ... * a (n times).

Front

What is the quotient of powers property?

Back

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

Front

What happens when you raise a product to a power?

Back

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