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 is multiplied by itself 3 times (2 * 2 * 2 = 8).

Front

What is the product of powers rule?

Back

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

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract 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, multiply the exponents. For example, (a^m)^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: x^5 * x^3

Back

x^(5+3) = x^8.

Front

Simplify: (3a^2)^4

Back

3^4 * a^(2*4) = 81a^8.

Front

Simplify: x^10 / x^4

Back

x^(10-4) = x^6.

Front

What happens when you raise a product to a power?

Back

When raising a product to a power, raise each factor to that power. For example, (ab)^n = a^n * b^n.