Exponent Rules

Front

What is the Quotient Rule for exponents?

Back

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

Front

Evaluate: 6^30 / 6^8

Back

6^(30-8) = 6^22.

Front

What does a zero exponent mean?

Back

Any non-zero number raised to the power of zero equals 1: a^0 = 1.

Front

Simplify: y^6 * y^0

Back

y^(6+0) = y^6.

Front

What is the result of y^6 / y^6?

Back

1, since any non-zero number divided by itself equals 1.

Front

What is the Power of a Power Rule?

Back

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

Front

Evaluate: (t^3)^4

Back

t^(3*4) = t^12.

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.

Front

Rewrite using a positive exponent: 5^-3

Back

1/5^3.

Front

What is the Product Rule for exponents?

Back

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