Exponents rules

Front

What is the rule for multiplying exponents with the same base?

Back

Add the exponents. For example, a^m * aⁿ = a^(m+n).

Front

What is the rule for dividing exponents with the same base?

Back

Subtract the exponents. For example, a^m / aⁿ = a^(m-n).

Front

What is the rule for raising a power to a power?

Back

Multiply the exponents. For example, (a^m)ⁿ = a^(m*n).

Front

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

Back

1. For example, 5⁰ = 1.

Front

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

Back

0. For example, 0³ = 0.

Front

What is the value of 0 raised to the power of zero?

Back

Undefined.

Front

What is the rule for multiplying coefficients in expressions with exponents?

Back

Multiply the numerical coefficients separately from the variables.

Front

What is the rule for simplifying expressions with exponents?

Back

Combine like terms and apply exponent rules.

Front

Simplify the expression: (2x³y²)³.

Back

8⁹y⁶.

Front

Simplify the expression: (3x²y³)³.

Back

27x⁶y⁹.