Laws of Exponents

Front

What is the product rule of exponents?

Back

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

Front

What is the quotient rule of exponents?

Back

When dividing two powers with the same base, subtract the exponents: 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: (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 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Evaluate: 5^3 ÷ 5^1

Back

5^(3-1) = 5^2 = 25.

Front

Evaluate: (3^2)(3^4)

Back

3^(2+4) = 3^6 = 729.

Front

Simplify: 2^5 ÷ 2^2

Back

2^(5-2) = 2^3 = 8.

Front

What is the value of 10^0?

Back

10^0 = 1.

Front

Evaluate: (4^2)^3

Back

4^(2*3) = 4^6 = 4096.