Question

Let a=64,b=4,m= 1/3 , and n= 3/2 . Evaluate each expression by substituting and applying exponents individually, as shown.

Expression Substitute Simplify Result
aᵐ . aⁿ
(aᵐ)ⁿ
(a.b)ᵐ

Answer 1

To evaluate the given expressions, substitute and apply exponents individually using the provided values of a, b, m, and n.

Step-by-step explanation:

To evaluate each expression by substituting and applying exponents individually, we can use the given values of a, b, m, and n. Here are the steps:

am = 641/3

= √64

= 4

an = 643/2

= (643)1/2

= (4,096)1/2

= √4,096

= 64

(am)n = 43/2

= (41)3/2

= 43/2

= √43

= √64

= 8

(a * b)m = (64 * 4)1/3

= 2561/3

= (256)1/3

= ∛256

= 6