Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 * 2 * 2.

Front

What is the product of powers rule?

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 power rule?

Back

When raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the power of a product rule?

Back

When raising a product to a power, you apply the exponent to each factor. For example, (ab)^n = a^n * b^n.

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

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 (where a ≠ 0).

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: 2^3 * 2^2

Back

2^(3+2) = 2^5 = 32.

Front

Simplify: (3^2)^3

Back

3^(2*3) = 3^6 = 729.

Front

Simplify: 5^4 / 5^2

Back

5^(4-2) = 5^2 = 25.