Power 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

Calculate (r^4)^6.

Back

r^24.

Front

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

Back

x = 3.

Front

What is the result of (8^7)^2?

Back

8^14.

Front

Calculate (h^3)^2.

Back

h^6.

Front

If (8^2)^x = 8^10, what is x?

Back

x = 5.

Front

What does the expression (a^m)^n simplify to?

Back

a^(m*n).

Front

If a = 2 and b = 3, what is (ab)^2?

Back

(2*3)^2 = 6^2 = 36.

Front

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

Back

x^6.

Front

If (3^4)^2 = 3^n, what is n?

Back

n = 8.