Exponent Rules

Front

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

Back

1

Front

How do you simplify x raised to a negative exponent, such as x⁻⁶?

Back

1 / x⁶

Front

What is the result of raising a power to another power, such as (y³)⁵?

Back

y¹⁵

Front

What is the value of x raised to the power of zero, x⁰?

Back

1

Front

What do we do to the exponents when raising a power to a power?

Back

Multiply the exponents.

Front

What is the general rule for multiplying two powers with the same base, such as x² * x³?

Back

Add the exponents: x^(2+3) = x⁵.

Front

What is the general rule for dividing two powers with the same base, such as x⁵ / x²?

Back

Subtract the exponents: x^(5-2) = x³.

Front

What is the result of raising a product to a power, such as (ab)²?

Back

a²b² (distribute the exponent to both factors).

Front

What is the result of raising a quotient to a power, such as (a/b)³?

Back

a³ / b³ (distribute the exponent to both the numerator and denominator).

Front

What is the value of 0 raised to any positive exponent?

Back

0.