Exponent Rules

Front

What are the basic exponent rules for multiplication of like bases?

Back

When multiplying like bases, add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the exponent rule for division of like bases?

Back

When dividing like bases, subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is the power of a power rule in exponents?

Back

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

Front

What is the power of a product rule in exponents?

Back

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

Front

What is the power of a quotient rule in exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator. For example, (a/b)^n = a^n / b^n.

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/a^n.

Front

How do you simplify the expression (2x^5)(6x^4)?

Back

Multiply the coefficients (2*6=12) and add the exponents of like bases (5+4=9), resulting in 12x^9.

Front

What is the result of simplifying the expression (x^3)(x^2)?

Back

Add the exponents of like bases: x^(3+2) = x^5.

Front

How do you simplify the expression (x^5)/(x^2)?

Back

Subtract the exponents of like bases: x^(5-2) = x^3.