Power of Powers Assessment

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 (5^2)^3.

Back

5^6

Front

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

Back

r^24

Front

Evaluate (x^5)^4.

Back

x^20

Front

What is the base in the expression (a^m)?

Back

The base is 'a', which is the number being raised to a power.

Front

What does the exponent represent in an expression like a^n?

Back

The exponent 'n' represents how many times the base 'a' is multiplied by itself.

Front

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

Back

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

Front

What is the simplified form of (x^2y^3)^4?

Back

x^8y^12, because you multiply the exponents: (x^2)^4 = x^(2*4) and (y^3)^4 = y^(3*4).

Front

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

Back

3^6

Front

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

Back

x = 10, because (a^5)^2 = a^(5*2) = a^10.