Raising Powers to a Power

Front

What is the power of a power rule in exponents?

Back

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

Front

Simplify: (3x^4y^5)^2

Back

9x^8y^10

Front

Simplify: (2x^3y)^6

Back

64x^18y^6

Front

Simplify: (-2r^3p^2m)^3

Back

-8r^9p^6m^3

Front

Simplify: (-2m)^4

Back

16m^4

Front

Simplify: (3y^4)^2

Back

9y^8

Front

What happens to the base when raising a power to a power?

Back

The base remains the same; only the exponents are affected.

Front

If a^m = 4 and n = 2, what is (a^m)^n?

Back

(a^m)^n = a^(m*n) = a^(4*2) = a^8.

Front

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

Back

x^(2*3) = x^6.

Front

How do you simplify (ab^2)^3?

Back

(ab^2)^3 = a^3b^(2*3) = a^3b^6.