Properties of Exponents

Front

What is the product of (b+3)(b^2+2b+1)?

Back

b^3 + 5b^2 + 7b + 3

Front

What is the square of (x + 7)?

Back

x^2 + 14x + 49

Front

Simplify (2a^2b^4z)(6a^3b^2z^5).

Back

12a^5b^6z^6

Front

What is (12x^3y)^2?

Back

144x^6y^2

Front

Simplify \frac{x^{-7}}{x^4}.

Back

\frac{1}{x^{11}}

Front

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

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 product rule?

Back

(ab)^n = a^n * b^n.

Front

What is the power of a power rule?

Back

(a^m)^n = a^{m*n}.

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

a^{-n} = \frac{1}{a^n}.