Question

Write 64 ×1 /16^2x
as a power of 4 in terms of x.

Answer 1

Answer: We can simplify the expression 64 ×1 /16^2x as follows:

64 ×1 /16^2x = 4^3 × 4^(-2x) [since 64 = 4^3 and 16 = 4^2]

Using the law of exponents which states that when we multiply two powers with the same base, we add the exponents, we get:

4^3 × 4^(-2x) = 4^(3 - 2x)

Therefore, 64 ×1 /16^2x can be expressed as a power of 4 in terms of x as:

4^(3 - 2x)

Explanation: