Exponent Rules

Front

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

Back

When multiplying powers with the same base, add the exponents. For example, a^m * a^n = a^(m+n).

Front

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

Back

When dividing powers with the same base, subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

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

Back

When raising a power to another power, multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

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

Back

9x^4y^6.

Front

What is the value of (2x^3)(4x^2)?

Back

8x^5.

Front

What is the value of (5x^2y^2)^3?

Back

125x^6y^6.

Front

What is the value of x^0?

Back

1, for any non-zero x.

Front

What happens when you raise zero to a power?

Back

0 raised to any positive power is 0.

Front

What is the rule for multiplying coefficients in exponent problems?

Back

Multiply the numerical coefficients together.

Front

What is the rule for adding exponents when multiplying powers?

Back

Add the exponents of the same base when multiplying.