Question

What is each expression written using each base only once? 8 ^ 8 x 8 ^ 4

A. 512 ^ 12
B. 8 ^ 32
C. 24 ^ 12
D. 8 ^ 12

Answer 1

D! When base numbers are being multiplied, you add the exponents. So 8 + 4 would be 12.

Answer 2

Option (d) is correct.

The given expression
`8^8 * 8^4` using base only once is
`8^(12)`

Explanation:

Given expression
`8^8 * 8^4`

We have to write the given expression using each base only once.

Consider the given expression
`8^8 * 8^4`

We know, property of exponents,
`a^n* a^m=a^(m+n)`

Using the above property we have,

`8^8 * 8^4=8^(8+4)`

Thus, simplify , we get,

`8^8 * 8^4=8^(12)`

Thus, option (d) is correct.

The given expression
`8^8 * 8^4` using base only once is
`8^(12)`