Power Raised to a Power CW

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: (3^2)^4

Back

3^(2*4) = 3^8.

Front

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

Back

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

Front

If (2^3)^x = 2^9, what is the value of x?

Back

x = 9/3 = 3.

Front

What does (ab)^n equal?

Back

(ab)^n = a^n * b^n.

Front

Simplify: (4x^2)^3

Back

4^3 * (x^2)^3 = 64x^6.

Front

What is the result of (5^2)^3?

Back

5^(2*3) = 5^6.

Front

If (y^4)^2 = y^8, what is the exponent rule used?

Back

The power of a power rule.

Front

What is the simplified form of (2x^3)^2?

Back

2^2 * (x^3)^2 = 4x^6.

Front

If (10^2)^3 = 10^x, what is x?

Back

x = 2*3 = 6.