Power Property of Exponents

Front

What is the Power Property of Exponents?

Back

The Power Property of Exponents states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify (2x^3)^4

Back

16x^12

Front

What happens to the exponents when multiplying powers with the same base?

Back

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

Front

Simplify (y^2)^5

Back

y^10

Front

What is the result of (3a^2b^3)^2?

Back

9a^4b^6

Front

If (x^5)^3 = x^n, what is the value of n?

Back

n = 15

Front

Simplify (m^4n^2)^3

Back

m^12n^6

Front

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

Back

x^5y^5

Front

If (p^3)^2 = p^n, what is the value of n?

Back

n = 6

Front

Simplify (2x^2)^3

Back

8x^6