Law of Exponents: Product and Quotient Rule

Front

What is the Product Rule of Exponents?

Back

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

Front

What is the Quotient Rule of Exponents?

Back

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

Front

Simplify: g^10 * g^15

Back

g^25

Front

Simplify: x^5 / x^2

Back

x^3

Front

True or False: a^0 = 1 for any non-zero number a.

Back

True

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

Front

Simplify: (2^3) * (2^4)

Back

2^7

Front

Simplify: (3^5) / (3^2)

Back

3^3

Front

What is the value of 7^0?

Back

1

Front

True or False: (x^2)^3 = x^6.

Back

True