Exponent Power of a Power Rule

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 (-x^2y^4)^2

Back

x^4y^8

Front

Simplify (b^3)^8

Back

b^24

Front

Simplify (2x^3y)^6

Back

64x^18y^6

Front

Simplify (3y^4)^2

Back

9y^8

Front

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

Back

9x^8y^10

Front

What happens to the base when applying the Power of a Power Rule?

Back

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

Front

If (a^2)^3 = a^x, what is the value of x?

Back

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

Front

What is the result of (x^5)^2?

Back

x^10 (because 5*2 = 10).

Front

How do you simplify (2^3)^4?

Back

2^(3*4) = 2^12.