Laws of Exponents

Front

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

Back

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

Subtract the exponents: a^m / a^n = a^(m-n)

Front

What happens when you raise a power to another power?

Back

Multiply the exponents: (a^m)^n = a^(m*n)

Front

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

Back

1 (except for 0^0 which is undefined)

Front

What is the law of exponents for multiplying coefficients?

Back

Multiply the coefficients and keep the base the same: c * d * a^m = (c*d) * a^m

Front

What is the law of exponents for negative exponents?

Back

a^-n = 1/a^n

Front

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

Back

6x^3y^5

Front

Simplify: (x^3)^4

Back

x^12

Front

Simplify: (2a^2b^3)(3a^3b)

Back

6a^5b^4

Front

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

Back

(ab)^n = a^n * b^n