Question

question 24 of 25
simplify ((b^4)^3).

a. (b)
b. (b^{12})
c. (b^9)
d. (b^3)

Explanation:

Step1: Recall exponent rule

When raising a power to a power, multiply the exponents: \((a^m)^n = a^{m\times n}\).

Step2: Apply the rule to \((b^4)^3\)

Here, \(a = b\), \(m = 4\), \(n = 3\). So, \(4\times3 = 12\), thus \((b^4)^3 = b^{12}\).

Answer:

B. \(b^{12}\)