Properties of Exponents Review

Front

What is the product of powers property of exponents?

Back

When multiplying two expressions with the same base, you 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, you 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, you distribute the exponent to each factor: (ab)^n = a^n * b^n.

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) (where a ≠ 0).

Front

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

Back

Using the product of powers property, you add the exponents: (x^3)(x^2) = x^(3+2) = x^5.

Front

What is the value of 5^0?

Back

According to the zero exponent rule, 5^0 = 1.

Front

How do you evaluate (2^3)^2?

Back

Using the power of a power property, you multiply the exponents: (2^3)^2 = 2^(3*2) = 2^6.

Front

What is the simplified form of (3^2 * 3^4)?

Back

Using the product of powers property, you add the exponents: 3^2 * 3^4 = 3^(2+4) = 3^6.

Front

What does a negative exponent indicate?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.