Exponent Rules Flashcard

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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

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

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

Simplify: x^3 * x^5

Back

x^(3+5) = x^8.

Front

Simplify: (3x^2)^4

Back

3^4 * x^(2*4) = 81x^8.

Front

Simplify: x^4 / x^2

Back

x^(4-2) = x^2.

Front

Simplify: (2y^3)(3y^2)

Back

2*3 * y^(3+2) = 6y^5.

Front

What is the value of 2^3?

Back

2^3 = 2 * 2 * 2 = 8.