Question

If a = 2^3 and b = 3^2, what is the value of a^b?
a) 64
b) 9
c) 512
d) 81

Answer 1

To find the value of a^b, substitute the given values of a and b into the expression.

Step-by-step explanation:

To find the value of a^b, we need to substitute the values of a and b into the expression. Given that a = 2^3 and b = 3^2, we have:

a^b = (2^3)^(3^2)

Using the exponent rules, we can simplify this expression as follows:

a^b = 2^(3 × 3^2)

Since 3 × 3^2 = 3 × 9 = 27, we have:

a^b = 2^27

Calculating this expression, we find that a^b = 134217728.