Exponent Rules

Front

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

Back

1

Front

What is the result of simplifying (x^m)^n?

Back

x^(m*n)

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents: x^a * x^b = x^(a+b)

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract the exponents: x^a / x^b = x^(a-b)

Front

What is the power of a product rule?

Back

When raising a product to a power, raise each factor to the power: (ab)^n = a^n * b^n

Front

What is the power of a quotient rule?

Back

When raising a quotient to a power, raise both the numerator and the denominator to the power: (a/b)^n = a^n / b^n

Front

Simplify: (-3x^4)^3

Back

(-3)^3 * x^(4*3) = -27x^12

Front

Simplify: (x^14)^3

Back

x^(14*3) = x^42

Front

Combine like terms: (5x + 2) + (4x + 5)

Back

9x + 7

Front

What is the value of (-9)^0?

Back

1