FLASHCARD 5 (power of a power)

Front

What happens to the exponents when raising a power to another exponent according to exponent rules?

Back

You multiply the exponents.

Front

Simplify the expression (3x^2)^3.

Back

27x^6

Front

Simplify the expression (x^2y^3)^3.

Back

x^6y^9

Front

Simplify the expression (xy^2)^4.

Back

x^4y^8

Front

What is the result of (ab)^2?

Back

a^2b^2

Front

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

Back

You add the exponents.

Front

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

Back

You subtract the exponents.

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, you multiply the exponents.

Front

If a^m * a^n = a^x, what is x in terms of m and n?

Back

x = m + n.

Front

If (x^m)^n = x^p, what is p in terms of m and n?

Back

p = m * n.