Law of Exponents: Product and Quotient Rule

Front

What is the Product Rule of Exponents?

Back

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

Front

Simplify the expression: 5^3 * 5^4

Back

5^7

Front

Simplify the expression: 10^6 / 10^2

Back

10^4

Front

What happens when you raise a power to another power?

Back

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

Front

Simplify the expression: (x^2)^3

Back

x^6

Front

What is the value of x if 2^x = 2^5?

Back

x = 5

Front

Simplify the expression: 3^4 * 3^2

Back

3^6

Front

Simplify the expression: 7^5 / 7^3

Back

7^2

Front

What is the value of x in the equation 4^x = 16?

Back

x = 2