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: 2^14 / 2^7

Back

2^(14-7) = 2^7.

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^-n = 1/a^n.

Front

Evaluate: 7^-2

Back

1/7^2 = 1/49.

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).

Front

Evaluate: (c^5)(c^3)(c^3)

Back

c^(5+3+3) = c^11.

Front

Evaluate: 5^3 * 5^4

Back

5^(3+4) = 5^7.

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: (x^2)^3

Back

x^(2*3) = x^6.

Front

What is the Power of a Product Rule?

Back

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