Question

Which of the following is equivalent to 2^3.2^-5?

a. -1/4
b.1/4
C. 2
d. -4

Answer 1

`(1)/(4)`

Explanation:

`2^(3)` ×
`2^(-5)`

To multiply powers of the same base, add their exponents. Add 3 and −5 to get −2.

`2^(-2)`

Calculate 2 to the power of −2 and get
`(1)/(4)`.

`(1)/(4)`

Hope it helps and enjoy the rest of your day! =)

Answer 2

1/4

Explanation:

2^3 * 2 ^ -5

When we multiply with the same base, we add the exponents

2 ^ (3+-5)

2 ^ (-2)

a^-b = 1/a^b

1/2^2

1/4