A1H 11.1 - Multiplication properties of Exponents

Front

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

Back

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

Front

What is the power of a product property?

Back

The power of a product property states that (ab)^n = a^n * b^n. You distribute the exponent to both factors.

Front

What is the power of a power property?

Back

The power of a power property states that (a^m)^n = a^(m*n). You multiply the exponents.

Front

What is the power of a quotient property?

Back

The power of a quotient property states that (a/b)^n = a^n / b^n. You apply the exponent to both the numerator and the denominator.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, a^0 = 1.

Front

What is the negative exponent rule?

Back

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

Front

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

Back

6x^5.

Front

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

Back

8a^3b^4.

Front

What is the formula for the area of a circle?

Back

A = πr^2, where r is the radius.

Front

Find the area of a circle with radius 3x^2:

Back

A = π(3x^2)^2 = 9πx^4.