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 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: a^(-n) = 1/(a^n).

Front

Simplify: (3x^2)(2x^3)

Back

6x^5.

Front

Simplify: (x^4)/(x^2)

Back

x^2.

Front

Simplify: (2a^3b^2)(3ab^4)

Back

6a^4b^6.

Front

What is the square root of 48?

Back

4√3.

Front

What is the square root of 96?

Back

4√6.