Exponents Power to a Power

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

Simplify (2ab)^3.

Back

2^3 a^3 b^3.

Front

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

Back

81x^12y^20.

Front

Simplify (2x^3y)^6.

Back

64x^18y^6.

Front

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

Back

9x^8y^10.

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents.

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents.

Front

What is the value of (x^m)^n?

Back

x^(m*n).

Front

If a^m * a^n = a^p, what is p?

Back

p = m + n.

Front

If (xy)^n = x^n * y^n, what is this property called?

Back

Distributive property of exponents.