Law of Exponents

Front

What is the Law of Exponents?

Back

The Law of Exponents refers to the rules that govern how to handle mathematical operations involving powers or exponents.

Front

What is the value of n in the equation (5^3)^n = 5^18?

Back

n = 6

Front

What is the result of simplifying (x^3y^4)^0 (3^2)?

Back

9

Front

How do you simplify the expression 7^3 x 5^2?

Back

7^2 x 5^4

Front

What is the equivalent expression for x^2 in terms of negative exponents?

Back

1/x^-2

Front

Write the expression (-7)(-7)(-7)(x)(x)(x)(y) in exponential form.

Back

(-7)^3 x^3 y

Front

What does any number raised to the power of 0 equal?

Back

1, except for 0^0 which is undefined.

Front

What is the product of powers rule?

Back

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

Front

What is the quotient of powers rule?

Back

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

Front

What is the power of a power rule?

Back

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