Laws of Exponents

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

Evaluate: 9^9 ÷ 9^4

Back

9^5

Front

Simplify: x^5 ÷ x^2

Back

x^3

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

Simplify: b^2 ⋅ b^4

Back

b^6

Front

How do you express 5⋅5⋅5⋅5⋅5⋅5⋅5 using exponents?

Back

5^7

Front

What is the Zero Exponent Rule?

Back

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

Front

What is the Negative Exponent Rule?

Back

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

Front

Evaluate: 10^3 ÷ 10^1

Back

10^2

Front

Simplify: (x^4)^2

Back

x^8