Power of a Power

Front

What is the Power of a Power property in exponents?

Back

When raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify the expression: (3^2)^4

Back

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

Front

What is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is 1.

Front

Simplify the expression: (x^3)^2

Back

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

Front

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

Back

5^(3+2) = 5^5.

Front

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

Back

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

Front

What does the expression 4^3 represent?

Back

4^3 = 4 * 4 * 4 = 64.

Front

Simplify the expression: (2^4)(2^3)

Back

2^(4+3) = 2^7.

Front

What is the equivalent expression for (x^5)^3?

Back

x^(5*3) = x^15.

Front

If 2^x = 16, what is the value of x?

Back

x = 4, because 16 = 2^4.