Simplifying Exponential Expressions

Front

What is an exponential expression?

Back

An expression that includes a base raised to a power, such as a^n.

Front

What is the product of powers property?

Back

When multiplying two expressions with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power property?

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?

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 rule?

Back

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

Front

Simplify: 2x^3 * 4x^2

Back

8x^5.

Front

Simplify: x^4 * x^3

Back

x^7.

Front

Simplify: (3x^2)^3

Back

27x^6.

Front

Simplify: 5y^2 * 2y^3

Back

10y^5.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.