Laws of Exponents

Front

What is the Product Law of Exponents?

Back

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

Front

Simplify: n²⋅n⁴⋅n⁵

Back

n¹¹

Front

What is the result of 3^4 x 3^7?

Back

3^11

Front

Simplify: (10^12)(10^4)

Back

10^16

Front

What is the result of 5³⋅5⁴?

Back

5⁷

Front

Simplify: x³·x⁴

Back

x⁷

Front

What is the Quotient Law of Exponents?

Back

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

Front

Simplify: 7^5 / 7^2

Back

7^3

Front

What is the Power of a Power Law?

Back

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

Front

Simplify: (2^3)^4

Back

2^12