Laws of Exponents

Front

What is the product of powers rule in exponents?

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 power of a power rule in exponents?

Back

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

Front

What is the power of a product rule in exponents?

Back

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

Front

What is the power of a quotient rule in exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator. For example, (a/b)^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. 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

What is the value of 2^3?

Back

2^3 = 2 * 2 * 2 = 8.

Front

What is the value of 5^0?

Back

5^0 = 1.

Front

What is the value of (3^2)^3?

Back

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

Front

Simplify: 4^3 * 4^2

Back

4^3 * 4^2 = 4^(3+2) = 4^5 = 1024.