Laws of Exponents

Front

What is the law of exponents for multiplying powers with the same base?

Back

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

Front

What is the law of exponents for dividing powers with the same base?

Back

When dividing powers with the same base, subtract 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 zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: 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: a^-n = 1/a^n.

Front

Simplify: x^3 * x^4

Back

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

Front

Simplify: (2x^2)^3

Back

2^3 * (x^2)^3 = 8x^6.

Front

Simplify: (xy^2)^2

Back

x^2 * (y^2)^2 = x^2y^4.

Front

Simplify: x^5 / x^2

Back

x^(5-2) = x^3.

Front

Evaluate: (3a^2b)^2

Back

3^2 * (a^2)^2 * b^2 = 9a^4b^2.