Laws of Exponents

Front

What is the law of exponents for multiplying like bases?

Back

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

Front

What is the law of exponents for dividing like bases?

Back

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

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is 1.

Front

What is the value of a number raised to a negative exponent?

Back

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

Front

Simplify: x^3 * x^2

Back

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

Front

Simplify: (3x^2)^3

Back

3^3 * (x^2)^3 = 27x^6.

Front

Simplify: (ab^2)^2

Back

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

Front

What is the law of exponents for raising a power to a power?

Back

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

Front

Simplify: (2x^3y)^2

Back

2^2 * (x^3)^2 * (y)^2 = 4x^6y^2.

Front

What is the value of 0 raised to any positive exponent?

Back

0 raised to any positive exponent is 0.