Exponent Rules

Front

What is the rule for simplifying (x^8)^2?

Back

Multiply the exponents: x^(8*2) = x^16.

Front

How do you simplify 3x ∙ 2x?

Back

Multiply the coefficients and add the exponents: 3*2 = 6 and x^(1+1) = x^2, so the answer is 6x^2.

Front

What is the rule for simplifying 5^4 ∙ 5^6?

Back

Add the exponents: 5^(4+6) = 5^10.

Front

What is the rule for simplifying (5^4)^6?

Back

Multiply the exponents: 5^(4*6) = 5^24.

Front

How do you simplify b^5 / b^3?

Back

Subtract the exponents: b^(5-3) = b^2.

Front

What is the product of x^3 and x^4?

Back

Add the exponents: x^(3+4) = x^7.

Front

What is the power of a product rule?

Back

(ab)^n = a^n * b^n.

Front

What is the power of a quotient rule?

Back

(a/b)^n = a^n / b^n.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

a^(-n) = 1/a^n.