Question

express 8-3as a power with tha base 2

Answer 1

Answer:

8 power 3 =512

3 power 9 =512

Answer 2

Given,

• $8^{-3}$  is given.

To find,

• We have to express $8^{-3}$ as a power with the base 2.

Solution,

$8^{-3}$ can be expressed as a power with the base 2 as  $(2)^{-9}$.

We can simply express $8^{-3}$ as a power with the base 2 by using the laws of the exponents.

Since 8 can be written as 2*2*2 as the product of the prime factors.

This implies 8 = (2)³

                       = $8^{-3}$

                       = $(2^3)^{-3}$

                       = $(2)^{-9}$           [$(a^m)^n = (a)^{mn}$]

Hence,  $8^{-3}$ can be expressed as a power with the base 2 as $(2)^{-9}$.