Power of a Power

Front

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

Back

We multiply the exponents.

Front

What happens to the exponents when we multiply powers with the same base?

Back

We add the exponents.

Front

Simplify (a^m)^n. What is the result?

Back

a^(m*n) or a^(mn).

Front

What is the result of (r^4)^6?

Back

r^24.

Front

Simplify (x^3)^2. What is the result?

Back

x^6.

Front

If (2^x)^5 = 2^15, what is the value of x?

Back

x = 3.

Front

What is the power of a power rule in exponents?

Back

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

Front

What is the product of powers rule in exponents?

Back

When multiplying powers with the same base, add the exponents.

Front

What is the quotient of powers rule in exponents?

Back

When dividing powers with the same base, subtract the exponents.

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one.