Exponent Rules

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

Simplify the expression: (x^a)^b

Back

x^(a*b) (Power of a Power Rule)

Front

What is the product of two exponential expressions with the same base?

Back

Add the exponents: x^a * x^b = x^(a+b) (Product of Powers Rule)

Front

What is the quotient of two exponential expressions with the same base?

Back

Subtract the exponents: x^a / x^b = x^(a-b) (Quotient of Powers Rule)

Front

Simplify the expression: 2^3 * 2^2

Back

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

Front

Simplify the expression: (3x^2)^3

Back

27x^6 (Power of a Product Rule)

Front

What is the value of x^0?

Back

1 (for any non-zero x)

Front

Simplify the expression: x^5 / x^2

Back

x^(5-2) = x^3

Front

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

Back

x^(3*2) = x^6

Front

Evaluate: 6^3 / 6^2

Back

6^(3-2) = 6^1 = 6