Properties of Exponents Review

Front

What is the product of powers property of exponents?

Back

When multiplying two powers 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 power of a quotient property of exponents?

Back

When raising a quotient to a power, you distribute the exponent to the numerator and denominator: (a/b)^n = a^n / b^n.

Front

What is the zero exponent property?

Back

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

Front

What is the negative exponent property?

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 the expression (2^3)^2?

Back

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

Front

How do you simplify the expression (8*2)^3?

Back

Using the power of a product property, (8*2)^3 = 8^3 * 2^3.

Front

What is the value of 7^(-3)?

Back

Using the negative exponent property, 7^(-3) = 1/7^3 = 1/343.

Front

How do you simplify the expression 9^9 / 9^6?

Back

Using the quotient of powers property, 9^9 / 9^6 = 9^(9-6) = 9^3 = 729.