Question

One megabyte of cell phone storage space is 2^{20} bytes. An app uses 4^4 megabytes of storage space. How many bytes of storage space does the app use? Write your answer as a power of 2.

Answer 1

Answer:

2²⁰ bytes

Step-by-step explanation:

Given

$Phone\ Storage = 2^{20}\ bytes$

$App\ Storage = 4^4\ megabytes$ of phone storage space

Required

Determine the storage space of the app in bytes

To answer this, we simply multiply the app storage by the phone storage

This gives:

$Total = 2^{20} * 4 ^4$

Express 4 as 2²

$Total = 2^{20} * 2^2^* ^4$

$Total = 2^{20} * 2^8$

Apply Laws of Indices

$Total = 2^{20+8}$

$Total = 2^{28}$

Hence, the storage space of the app is 2²⁰ bytes