Rules of exponents

Front

What is the quotient rule of exponents?

Back

The quotient rule states that when dividing two exponential expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Evaluate 9^5 using the rules of exponents.

Back

9^5 = 9^5 (no simplification needed).

Front

In the expression 4^2 = 16, what is the base?

Back

The base is 4.

Front

In the expression 4^2 = 16, what is the exponent?

Back

The exponent is 2.

Front

What is the product rule of exponents?

Back

The product rule states that when multiplying two exponential expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

Simplify the expression (x^3 * x^4).

Back

x^3 * x^4 = x^(3+4) = x^7.

Front

What is the zero exponent rule?

Back

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

Front

Evaluate (5^3 * x^2 * y^4)^0.

Back

(5^3 * x^2 * y^4)^0 = 1.

Front

What does it mean for an exponent to be negative?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent: a^(-n) = 1/a^n.

Front

Simplify the expression 8x^6y^12.

Back

The expression is already simplified.